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MHT CET202415 May 2024Morning ShiftPhysicsOscillationsActual

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 ^2 ]

Options

  1. A0.2 ~s
  2. B0.3 ~s
  3. C0.4 ~s
  4. D0.5 ~s

Correct answer

C. 0.4 ~s

Step-by-step solution

From the diagram, mg N = ma For the object to just lose the Contact with the surface, array ll & N=0 & m g=m a & g=a & g=A ^2 array aligned & = g A = 10 0.4 = 100 4 = 10 2 =5 & 2 T =5 & T= 2 5 =0.4 aligned

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