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A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92×10−3m . 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 (A = Acceleration)For critical condition R = 0so mg = mA ⇒mg=maω2⇒ω=g/a=9.83.92×10−3=50⇒T=2πω=2π50=0.1256sec

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