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KVPY2010PhysicsOscillations

A book is resting on shelf that is undergoing vertical simple harmonic oscillations with an amplitude of 2.5 ~cm . What is the minimum frequency of oscillation of the shell for which the book will lose contact with the shelf ? (Assume that g =10 ~m / s ² )

Options

  1. A20 ~Hz
  2. B3.18 ~Hz
  3. C125.6 ~Hz
  4. D10 ~Hz

Correct answer

B. 3.18 ~Hz

Step-by-step solution

Book will loose contact with the shelf when a = g . Now | a |= ² x g = ² ~A ( ~A Amplitude) array l ²= g A also f= 2 f= 1 2 g A array replacing g =10 ~m / s ² and A =2.5 10⁻² ~m We get f =3.18 ~Hz

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