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A particle is executing simple harmonic motion along a straight line with time period T and amplitude A. Find the speed of the particle when its kinetic energy is equal to its potential energy.

a
22πAT
b
2πAT
c
πA2T
d
2πAT

detailed solution

Correct option is D

Speed v=ωA2-x2, KE=12mv2 and PE=12mω2x2∴12mω2(A2-x2)=12mω2x2⇒x=A2∴v=ωA2-A22=2πAT

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