MHT CET 2024 Physics question

PhysicsOscillationsMHT CET 2024

A horizontal platform with a small object placed on it executes a linear S.H.M. in the vertical direction. The amplitude of oscillation is 40 cm. What should be the least period of these oscillations, so that the object is not detached from the platform? [Take g = 10 m/s]

Answer: (C)

Solution

The object stays in contact as long as the platform's downward acceleration does not exceed . The maximum acceleration in S.H.M. is , so we need , i.e. . Period

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Question ID VK-098879