Question

A particle executes simple harmonic motion with amplitude 'A' and period 'T'. If it is halfway between mean position and extreme position, then its speed at that point is ______.

Options

• `(sqrt3piA)/(2T)`

• `(piA)/T`

• `(sqrt3piA)/T`

• `(3piA)/T`

Answer 1

A particle executes simple harmonic motion with amplitude 'A' and period 'T'. If it is halfway between mean position and extreme position, then its speed at that point is `underline((sqrt3piA)/T)`.

Explanation:

`"v"=omegasqrt((A^2-x^2))=(2pi)/Tsqrt(A^2-A^2/4)=(sqrt3A)/2xx(2pi)/T`

`=(sqrt3piA)/T`