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A particle is executing simple harmonic ...

A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE), the position of the particle will be :

A

`A/(sqrt2)`

B

`A/(2sqrt2)`

C

A

D

`A/2`

Text Solution

Verified by Experts

The correct Answer is:
A
KE = PE
`1/2 mV^2 = 1/2 kx^2 implies 1/2 m omega^2 (A^2 - x^2) = 1/2 m omega^2 x^2`
`A^2 - x^2 = x^2 implies x = A/(sqrt(2))`
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