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 200N/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 )
Text Solution
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Let the minimum amplitude of SHM is a.
Restoring force on spring
F = ka
Restoring force is balanced by weight mg of block. For mass to execute simple harmonic motion of
amplitude a.
∴ ka = mg
or a = 
Here, m = 2kg, k = 200 N/m, g = 10 m/s 2
∴ a = 
= 
= 10 cm
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