A harmonic plateform with an object placed on it is executing `SHM` in the verticle direction The amplitude of oscillation is `3.29 + 10^(-3)m` what must be the least period of these oscillation so that the object is not detached from the plateform

Options

A. `0.1256 sec`
B. `0.1356 sec`
C. `0.1456 sec`
D. `0.1556 sec`

Answer

A

Explanation

By drawing free body diagram of object during the exterme downward motion at exterme position for equilibrium of mass

`mg - R = mA (A = "Acceleration")`
For critical condition `R = 0`
So `mg = mA rArr mg = ma omega^(2)`
`rArr omega = sqrt((g)/(a)) = sqrt((9.8)/(3.92 xx 10^(-1))) = 50`
`rArr T = (2pi)/(omega) = (2pi)/(50) = 0.1256 sec`