Derive the expression for the work done by the ideal spring

Thread starter Alexanddros81
Start date Dec 1, 2017
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Derive Expression Spring Work Work and energy Work done

1 reply · 3K views · last reply Dec 1, 2017

Alexanddros81

Thread starter
Dec 1, 2017

Homework Statement

Derive the expression for the work done by the ideal spring on the slider when the
slider moves from A to B. Assume that the free length of the spring is (a) ##L_0 = b##;
and (b) ##L_0 = 0.75b##

Diagram of a slider on a horizontal rod with endpoints A and B, distance b apart, connected by a spring to a pivot point on the ground below. Labelled Fig. P14.5, P14.6.

Homework Equations

The Attempt at a Solution

Handwritten solution to a spring work problem: free length cases a) L0 = b and b) L0 = 0.75b, work U_A-B = -1/2 K(δB^2 - δA^2), with elongations and resulting expressions -0.0855Kb^2 and -0.188Kb^2.

Can you check if my solution is correct?

Discussion

Orodruin

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Dec 1, 2017

Looks reasonable.