A copper rod of length L and cross section radius r is suspended from the ceiling by one of its - Physics - Mechanical Properties Of Solids

Question

A copper rod of length L and cross section radius r is suspended
from the ceiling by one of its ends Density of copper is r and
youngs modulus is Y The potential energy stored in the rod due its
own weight is

Ved Prakash Lakhera · Accepted Answer

According to Hook's law:       mgπr2=Y×∆lLor    mgL=Y×πr2×∆l------1or      πr2L×r×gL=Y×πr2×∆lor        ∆l=grL2Y-----2Putting this value of ∆l in eqn 1 we get,             mgL=Y×πr2×grL2Y=πr3gL2Therefore potential energy stored in the copper rod =πr3gL2

A copper rod of length L and cross section radius r is suspended from the ceiling by one of its ends.Density of copper is r and youngs modulus is Y.The potential energy stored in the rod due its own weight is