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Work Done by a Varying Force

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.

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Work Done by a Varying Force

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  1. Work Done by a Varying Force

  2. So far... Forces are constant Work done = F·s

  3. Consider... • Force on the spring varies as the length increases • As the spring is displaced the force varies

  4. Let’s look at the graph • Area under the graph = F·s • Area under the graph = Work done

  5. Let’s look at the graph • Area under the graph = Work done • Work done to stretch a spring = ½ Fx

  6. Spring Extension • Force is proportional to extension • Slope of the graph is constant • Slope = Spring constant • a.k.a. force constant • Equation

  7. Strain Energy • Stored energy due to stretching or compression • Work-Energy Theorem • Work done on the spring • Work done by the spring

  8. Example

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