Question

A body perform linear simple harmonic motion of amplitude 'A'. At what displacement from the mean position, the potential energy of the body is one fourth of its total energy?

Options

• `A/2`

• `A/4`

• `(3A)/4`

• `A/3`

Answer 1

`A/2`

Explanation:

Total energy `=1/2KA^2`

Potential energy `=1/2kx^2`

If P.E. `=1/4(K.E.)  "then"`

`1/2kx^2=1/4(1/2kA^2)`

`thereforex^2=A^2/4  "or"  x=A/2`