A horizontal platform with an object placed on it is executing S H M in the vertical direction. The amplitude of oscillation is 2.5 c m . What must be the least period of these oscillations so that the object is not detached? (Given : g = 10 m s - 2 )

Question

A horizontal platform with an object placed on it is executing S H M in the vertical direction. The amplitude of oscillation is 2.5 c m . What must be the least period of these oscillations so that the object is not detached? (Given : g = 10 m s - 2 ), π s, π 5 s, π 10 s, π 15 s

MARKS App · Accepted Answer

At the extreme location, the forces on the object are mg and mω​ 2 A in opposite directions For an object to always be in contact will platform m ω 2 A ≤ m g or ω = g A or T 2 π = A g or T = 2 π A g = 2 π 2.5 1000 = π 10 s

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