A block of mass m is tied to one end of a string of length l, young's modulus Y and cross-sectional area A. The block is made to rotate in a horizontal circle of radius l with angular velocity ω in a gravity free space. If elongation of the wire is x, then elastic potential energy stored in the wire is
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a
12mω2lx
b
mω2lx4
c
12mω2l2
d
14mω2l2
answer is A.
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Detailed Solution
Centrifugal force acting on the block, F=mω2l.∴ Elongation = x∴ Elastic potential energy =12F.x=mω2lx2