work done by a varying force
DESCRIPTION
Work Done by a Varying Force. So far. Forces are constant. Work done = F·s. Consider. Force on the spring varies as the length increases As the spring is displaced the force varies. Let’s look at the graph. Area under the graph = F ·s Area under the graph = Work done. - PowerPoint PPT PresentationTRANSCRIPT
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Work Done by a Varying Force
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So far...
Forces are constantWork done = F·s
![Page 3: Work Done by a Varying Force](https://reader038.vdocuments.mx/reader038/viewer/2022102708/568167cd550346895ddd1e6a/html5/thumbnails/3.jpg)
Consider...
• Force on the spring varies as the length increases
• As the spring is displaced the force varies
![Page 4: Work Done by a Varying Force](https://reader038.vdocuments.mx/reader038/viewer/2022102708/568167cd550346895ddd1e6a/html5/thumbnails/4.jpg)
Let’s look at the graph
• Area under the graph = F·s
• Area under the graph = Work done
![Page 5: Work Done by a Varying Force](https://reader038.vdocuments.mx/reader038/viewer/2022102708/568167cd550346895ddd1e6a/html5/thumbnails/5.jpg)
Let’s look at the graph
• Area under the graph = Work done
• Work done to stretch a spring = ½ Fx
![Page 6: Work Done by a Varying Force](https://reader038.vdocuments.mx/reader038/viewer/2022102708/568167cd550346895ddd1e6a/html5/thumbnails/6.jpg)
Spring Extension
• Force is proportional to extension
• Slope of the graph is constant
• Slope = Spring constant– a.k.a. force constant
• Equation
![Page 7: Work Done by a Varying Force](https://reader038.vdocuments.mx/reader038/viewer/2022102708/568167cd550346895ddd1e6a/html5/thumbnails/7.jpg)
Strain Energy
• Stored energy due to stretching or compression
• Work-Energy Theorem• Work done on the spring• Work done by the spring
![Page 8: Work Done by a Varying Force](https://reader038.vdocuments.mx/reader038/viewer/2022102708/568167cd550346895ddd1e6a/html5/thumbnails/8.jpg)
Example
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Example
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Example
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Example
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Example