A mass of 2 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in Fig. 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/s2) 

A mass of 2 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in Fig. 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/s2)
 

  1. A

    4.0 cm

  2. B

    8.0 cm

  3. C

    10.0 cm

  4. D

    Any value less than 12.0 cm

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    Solution:

    For given conditions,
     Mg=2a=ka a=Mgk=2×10200=0.1 m=10 cm

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