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NEET2007PhysicsOscillationsActual

A mass of 2.0 ~kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 ~N / m . What should be the minimum amplitude of the motion so that the mass gets detached from the pan (take g=10 ~m / s ^2 ).

Options

  1. A10.0 ~cm
  2. Bany value less than 12.0 ~cm
  3. C4.0 ~cm
  4. D8.0 ~cm

Correct answer

A. 10.0 ~cm

Step-by-step solution

For given condition aligned m g & =m ^2 a=K a a & = m g k = 2 10 200 & =0.1=10 ~cm aligned

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