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

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

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

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

Example

Example

Example

Example

Example