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A horizontal platform with an object pla...

A horizontal platform with an object placed on it is executing SHM in the vertical direction. The amplitude of oscillation is `3.92xx 10^(-3)m`. What must be the least period of these oscillations, so that the object is not detached from the platform?

A

`0.1256 s`

B

`0.1356 s`

C

`0.1456 s`

D

`0.1556 s`

Text Solution

Verified by Experts

The correct Answer is:
A
According to figure `mg-R = ma` (a= acceleration)
For `R= 0, mg= ma implies mg= m A omega^(2)`
`implies omega = sqrt(g"/"A) = sqrt((9.8)/(3.92xx 10^(-3)))= 50`
`implies T= (2pi)/(omega)= (2pi)/(50)= 0.1256s`.
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