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Q.

A mass m =1.0kg is put on a flat pan attached to a vertical spring fixed on the ground. The mass of the spring and the pan is negligible. When pressed slightly and released, the mass executes simple harmonic motion . The spring constant is 500 N/m. What is the amplitude A of the motion, so that the mass m tends to get detached from the pan? (Take g=10 m/s2). The spring is stiff enough so that it does not get distorted during the motion
 

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a

A < 2.0 cm

b

A = 2.0 cm

c

A = 1.5 cm

d

A > 2.0 cm

answer is A.

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Detailed Solution

Minimum acceleration at this bottom to detach is 'g' so
2=gA=gω2=gmKA=10×1500=2×102m=2cm
So A > 2cm.

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