A man of mass `60kg` is standing on a platform executing SHM in the vertical plane. The displacement from the mean position varies as `y = 0.5sin(2pift)`. The value of `f`, for which the man will feel weightlessness at the highest point, is (`y` in metre)

Options

A. `(g)/(4pi)`
B. `4pig`
C. `(sqrt(2)g)/(2pi)`
D. `2pisqrt(2)g`

Answer

C

Explanation

For welgthlessness
`mg = momega^(2)a rArr g = (2pif)^(2) (0.5)`
`rArr 2 pif = sqrt(2)g rArr f = (sqrt(2)g)/(2pi)`