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Q.

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92 x 10-3 m. What must be the least period of these oscillations, so that the object is not detached from the platform?

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a

0.1256 sec

b

0.1356 sec

c

0.1456 sec

d

0.1556 sec

answer is A.

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Detailed Solution

By drawing free body diagram of object during the downward motion at extreme position, for equilibrium of mass Mg-R= mA (here A=Acceleration)For not to detach , R = 0  mg=mA⇒mg=maω2⇒ω=g/a=9.83.92×10−3=50⇒T=2πω=2π50=0.12566sec
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