<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://energyeducation.ca/wiki/index.php?action=history&amp;feed=atom&amp;title=Lever</id>
	<title>Lever - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://energyeducation.ca/wiki/index.php?action=history&amp;feed=atom&amp;title=Lever"/>
	<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Lever&amp;action=history"/>
	<updated>2026-04-29T13:18:36Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.44.0</generator>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=6271&amp;oldid=prev</id>
		<title>Jmdonev: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=6271&amp;oldid=prev"/>
		<updated>2018-05-18T22:53:11Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:53, 18 May 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=6270&amp;oldid=prev</id>
		<title>Jmdonev at 22:15, 11 May 2018</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=6270&amp;oldid=prev"/>
		<updated>2018-05-11T22:15:09Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:15, 11 May 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2015&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;04&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;01&lt;/del&gt;]] [[Category:3A_Energy_A_closer_look]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2018&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;05&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18&lt;/ins&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:3A_Energy_A_closer_look]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:371_topics]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:371_topics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Palanca-ejemplo.jpg|400px|thumbnail|right|Figure 1: An example of how a flat board can act like a lever. The fulcrum is triangular piece under the board that the whole system rotates around. The force from gravity on the 100 kg weight is much higher than the 5 kg weight, but the length at which the force is acting from the pivot (fulcrum) balances these forces out in terms of [[torque]].&amp;lt;ref&amp;gt;Wikimedia Commons [Online], Available: http://upload.wikimedia.org/wikipedia/commons/f/f2/Palanca-ejemplo.jpg&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Palanca-ejemplo.jpg|400px|thumbnail|right|Figure 1: An example of how a flat board can act like a lever. The fulcrum is triangular piece under the board that the whole system rotates around. The force from gravity on the 100 kg weight is much higher than the 5 kg weight, but the length at which the force is acting from the pivot (fulcrum) balances these forces out in terms of [[torque]].&amp;lt;ref&amp;gt;Wikimedia Commons [Online], Available: http://upload.wikimedia.org/wikipedia/commons/f/f2/Palanca-ejemplo.jpg&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;A &#039;&#039;&#039;lever&#039;&#039;&#039; is a type of [[simple machine]], which creates a [[mechanical advantage]] to perform tasks by changing the magnitude and/or direction of forces.&amp;lt;/onlyinclude&amp;gt; A lever needs a fulcrum (see figure 1), which is the central pivot for the system&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/del&gt;to manipulate forces. A lever also needs some sort of rigid bar or rod placed in some position on the fulcrum to be functional.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;A &#039;&#039;&#039;lever&#039;&#039;&#039; is a type of [[simple machine]], which creates a [[mechanical advantage]] to perform tasks by changing the magnitude and/or direction of forces.&amp;lt;/onlyinclude&amp;gt; A lever needs a fulcrum (see figure 1), which is the central pivot for the system to manipulate forces. A lever also needs some sort of rigid bar or rod placed in some position on the fulcrum to be functional.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While levers may seem magical in that they change how much force is needed to do a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;job they &lt;/del&gt;don&#039;t change the [[work]] or [[energy]] needed. Like all simple machines, people use the physics of levers to their advantage, but there&#039;s a trade off for using less &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;force, the &lt;/del&gt;force must be applied over a greater distance.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While levers may seem magical in that they change how much force is needed to do a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;job—they &lt;/ins&gt;don&#039;t change the [[work]] or [[energy]] needed. Like all simple machines, people use the physics of levers to their advantage, but there&#039;s a trade off for using less &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;force—the &lt;/ins&gt;force must be applied over a greater distance.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Many everyday tools use levers and fulcrums in their use, such as nail clippers, pliers, scissors, wheelbarrows, fishing rods, crow bars, and nutcrackers, to name a few. The principles behind levers can &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;even &lt;/del&gt;be explored by seeing how hard of a push is needed to open a door at different distances from its hinges.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Many everyday tools use levers and fulcrums in their use, such as nail clippers, pliers, scissors, wheelbarrows, fishing rods, crow bars, and nutcrackers, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;just &lt;/ins&gt;to name a few. The principles behind levers can &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;also &lt;/ins&gt;be explored by seeing how hard of a push is needed to open a door at different distances from its hinges.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Mechanical Advantage in Levers==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Mechanical Advantage in Levers==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Lever.gif|400px|thumbnail|right|Figure 2: The mechanical advantage of a lever. The subscript &amp;#039;&amp;#039;r&amp;#039;&amp;#039; represents the resistance force caused by a load, and the subscript &amp;#039;&amp;#039;e&amp;#039;&amp;#039; represents the effort, or input force. &amp;lt;ref&amp;gt;Hyperphysics, &amp;#039;&amp;#039;Simple machines&amp;#039;&amp;#039; [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/lever.html&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Lever.gif|400px|thumbnail|right|Figure 2: The mechanical advantage of a lever. The subscript &amp;#039;&amp;#039;r&amp;#039;&amp;#039; represents the resistance force caused by a load, and the subscript &amp;#039;&amp;#039;e&amp;#039;&amp;#039; represents the effort, or input force. &amp;lt;ref&amp;gt;Hyperphysics, &amp;#039;&amp;#039;Simple machines&amp;#039;&amp;#039; [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/lever.html&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Levers use the principle of [[torque]]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, which is a &lt;/del&gt;measure of the force applied on something at a distance from a pivot, in their operation. With levers, the position of the fulcrum determines the distribution of the balanced torques on either side, as can be seen in Figure 1 (or in the PhET at the bottom of the page).  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Levers use the principle of [[torque]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(the &lt;/ins&gt;measure of the force applied on something at a distance from a pivot&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&lt;/ins&gt;, in their operation. With levers, the position of the fulcrum determines the distribution of the balanced torques on either side, as can be seen in Figure 1 (or in the PhET at the bottom of the page).  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;From [[conservation of energy]] principles, the output energy of a system can not be larger &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;than what is input to it&lt;/del&gt;. The balanced equation looks like &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;F_{in}*d_{in}=F_{out}*d_{out}&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;, which can be rearranged to define the mechanical advantage. For a lever, the ideal mechanical advantage is the ratio of the long side to the short side, as shown in Figure 2. Some levers are force multiplying (motion through a greater distance creates more force, like a crow bar) and some levers are distance multiplying (greater force through a shorter distance multiplies the force, like a fishing rod).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;From [[conservation of energy]] principles, the output energy of a system can not be larger &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;energy inputted&lt;/ins&gt;. The balanced equation looks like &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;F_{in}*d_{in}=F_{out}*d_{out}&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;, which can be rearranged to define the mechanical advantage. For a lever, the ideal mechanical advantage is the ratio of the long side to the short side, as shown in Figure 2. Some levers are force multiplying (motion through a greater distance creates more force, like a crow bar) and some levers are distance multiplying (greater force through a shorter distance multiplies the force, like a fishing rod).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Types of Levers==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Types of Levers==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l29&quot;&gt;Line 29:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 30:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;iframe src=&amp;quot;http://phet.colorado.edu/sims/html/balancing-act/latest/balancing-act_en.html&amp;quot; width=&amp;quot;800&amp;quot; height=&amp;quot;600&amp;quot;&amp;gt;&amp;lt;/iframe&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;iframe src=&amp;quot;http://phet.colorado.edu/sims/html/balancing-act/latest/balancing-act_en.html&amp;quot; width=&amp;quot;800&amp;quot; height=&amp;quot;600&amp;quot;&amp;gt;&amp;lt;/iframe&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/html&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/html&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== For Further Reading ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For further information please see the related pages below:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Mechanical advantage]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Simple machine]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Gear]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Pulley]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Inclined plane]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Work]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Special:Random|A random page]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Uploaded]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Uploaded]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=1048&amp;oldid=prev</id>
		<title>J.williams: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=1048&amp;oldid=prev"/>
		<updated>2015-08-26T21:31:16Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:31, 26 August 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>J.williams</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=1047&amp;oldid=prev</id>
		<title>J.williams at 16:54, 12 August 2015</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Lever&amp;diff=1047&amp;oldid=prev"/>
		<updated>2015-08-12T16:54:56Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Category:Done 2015-04-01]] [[Category:3A_Energy_A_closer_look]]&lt;br /&gt;
[[Category:371_topics]]&lt;br /&gt;
[[File:Palanca-ejemplo.jpg|400px|thumbnail|right|Figure 1: An example of how a flat board can act like a lever. The fulcrum is triangular piece under the board that the whole system rotates around. The force from gravity on the 100 kg weight is much higher than the 5 kg weight, but the length at which the force is acting from the pivot (fulcrum) balances these forces out in terms of [[torque]].&amp;lt;ref&amp;gt;Wikimedia Commons [Online], Available: http://upload.wikimedia.org/wikipedia/commons/f/f2/Palanca-ejemplo.jpg&amp;lt;/ref&amp;gt;]]&lt;br /&gt;
&amp;lt;onlyinclude&amp;gt;A &amp;#039;&amp;#039;&amp;#039;lever&amp;#039;&amp;#039;&amp;#039; is a type of [[simple machine]], which creates a [[mechanical advantage]] to perform tasks by changing the magnitude and/or direction of forces.&amp;lt;/onlyinclude&amp;gt; A lever needs a fulcrum (see figure 1), which is the central pivot for the system, to manipulate forces. A lever also needs some sort of rigid bar or rod placed in some position on the fulcrum to be functional.&lt;br /&gt;
&lt;br /&gt;
While levers may seem magical in that they change how much force is needed to do a job they don&amp;#039;t change the [[work]] or [[energy]] needed. Like all simple machines, people use the physics of levers to their advantage, but there&amp;#039;s a trade off for using less force, the force must be applied over a greater distance.&lt;br /&gt;
&lt;br /&gt;
Many everyday tools use levers and fulcrums in their use, such as nail clippers, pliers, scissors, wheelbarrows, fishing rods, crow bars, and nutcrackers, to name a few. The principles behind levers can even be explored by seeing how hard of a push is needed to open a door at different distances from its hinges.&lt;br /&gt;
&lt;br /&gt;
==Mechanical Advantage in Levers==&lt;br /&gt;
[[File:Lever.gif|400px|thumbnail|right|Figure 2: The mechanical advantage of a lever. The subscript &amp;#039;&amp;#039;r&amp;#039;&amp;#039; represents the resistance force caused by a load, and the subscript &amp;#039;&amp;#039;e&amp;#039;&amp;#039; represents the effort, or input force. &amp;lt;ref&amp;gt;Hyperphysics, &amp;#039;&amp;#039;Simple machines&amp;#039;&amp;#039; [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/lever.html&amp;lt;/ref&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
Levers use the principle of [[torque]], which is a measure of the force applied on something at a distance from a pivot, in their operation. With levers, the position of the fulcrum determines the distribution of the balanced torques on either side, as can be seen in Figure 1 (or in the PhET at the bottom of the page). &lt;br /&gt;
&lt;br /&gt;
From [[conservation of energy]] principles, the output energy of a system can not be larger than what is input to it. The balanced equation looks like &amp;lt;m&amp;gt;F_{in}*d_{in}=F_{out}*d_{out}&amp;lt;/m&amp;gt;, which can be rearranged to define the mechanical advantage. For a lever, the ideal mechanical advantage is the ratio of the long side to the short side, as shown in Figure 2. Some levers are force multiplying (motion through a greater distance creates more force, like a crow bar) and some levers are distance multiplying (greater force through a shorter distance multiplies the force, like a fishing rod).&lt;br /&gt;
&lt;br /&gt;
==Types of Levers==&lt;br /&gt;
There are 3 types (or classes) of levers:&amp;lt;ref&amp;gt;Explain that stuff!, &amp;#039;&amp;#039;Tools and simple machines&amp;#039;&amp;#039; [Online], Available: http://www.explainthatstuff.com/toolsmachines.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Class-1 levers&amp;#039;&amp;#039;&amp;#039; have the fulcrum in the middle, and the applied force is up or down on one of the ends, with the output force being in the opposite direction on the other end. Examples of class-1 levers include seesaws and scissors. These can be either force multiplying or distance multiplying.&lt;br /&gt;
&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Class-2 levers&amp;#039;&amp;#039;&amp;#039; have the fulcrum at one of the ends of the lever, and the applied force is at the other end. The resistance is located in the middle, and travels in the same direction as the applied force. An example of a class-2 lever is a wheelbarrow. These levers are always force multiplying.&lt;br /&gt;
&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Class-3 levers&amp;#039;&amp;#039;&amp;#039; are much like class-2 levers, but the applied force is in the middle rather than at the end. This means that the force a person needs to apply is larger than the output force (the mechanical advantage is less than 1), but this gives increased control of the tool. Examples of class-3 levers include tweezers, tongs, and fishing rods. These levers are always distance multiplying.&lt;br /&gt;
&lt;br /&gt;
==Phet Simulation==&lt;br /&gt;
The [http://phet.colorado.edu/ University of Colorado] has graciously allowed us to use the following Phet simulation. Explore this simulation to see how forces acting on different parts of a beam create torques that can balance out. This is a class 1 lever.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;html&amp;gt;&lt;br /&gt;
&amp;lt;iframe src=&amp;quot;http://phet.colorado.edu/sims/html/balancing-act/latest/balancing-act_en.html&amp;quot; width=&amp;quot;800&amp;quot; height=&amp;quot;600&amp;quot;&amp;gt;&amp;lt;/iframe&amp;gt;&lt;br /&gt;
&amp;lt;/html&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
[[Category:Uploaded]]&lt;/div&gt;</summary>
		<author><name>J.williams</name></author>
	</entry>
</feed>