A horizontal platform with an object placed on it is executing SHM 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

Question

A horizontal platform with an object placed on it is executing SHM 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

Infinity Learn · Accepted Answer

By drawing free body diagram of object during the downward motion at extreme position, for equilibrium of $$massmg-R$$ $$=$$ $$mA(A$$ $$=$$ $$Acceleration)For$$ critical condition R $$=$$ $$0so$$ mg $$=$$ mA ⇒mg $$=$$ maω$$2$$⇒ω $$=$$ ga $$=$$ $$9.83.92$$×$$10-3$$ $$=$$ $$50$$⇒T $$=$$ $$2$$πω $$=$$ $$2$$$$π$$$$50$$ $$=$$ $$0.1256$$ $$sec$$

A horizontal platform with an object placed on it is executing SHM 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 horizontal platform with an object placed on it is executing SHM 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 horizontal platform with an object placed on it is executing SHM 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