First slide
Work
Question

If a spring extends by x on loading ,then energy stored by the spring is(if T is the tension in the spring and k is the spring constant)

Moderate
Solution

work = Force.displacement dw =F.dx---(1)              in a spring F=-kx dF=-kdx -dFk=dx---(2) substitute eqn(2) in (1) dw =F(-dFk) integrating dw =F(-dFk) w=-F22k here work w is energy stored F is tension in the spring T negative is for restoring force of spring energy stored =T22k 

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