Question

At what displacement k.E. Of aparticle executing shm equal to p.E.

Answer 1

the kinetic energy and potential energy of particle executing SHM will be equal when its displacement is

X=A/√2

because

pe=ke

1/2 (m)(angular velocity)²(A²-x²) = 1/2 (m)(angular velocity)²(x)²

A²-x²=x²

2x²=A²

X=A/√2

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