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IMPORTANT
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A particle of mass m=5 kg is free to slide on a smooth ring of radius r=20 cm fixed in a vertical plane. The particle attached to one end of a spring whose other end is fixed to the top point O of the ring. Initially the particle is at rest at a point A of the ring such that OCA=60°, C being the centre of the ring. The natural length of the spring is also equal to r=20 cm. After the particle is released and slides down the ring the contact force between the particle and the ring becomes zero when it reaches the lowest position B (diametrically opposite to O). Determine the force constant of the spring.

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Important Questions on Work, Power, and Energy

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JEE Main
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A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is
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A sphere is suspended by a thread of length l. What minimum horizontal velocity has to be imparted to the ball for it to reach the height of the suspension?
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JEE Main
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IMPORTANT

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JEE Main
IMPORTANT

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JEE Main
IMPORTANT
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JEE Main
IMPORTANT

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HARD
JEE Main
IMPORTANT

A particle moves from rest at A on the surface of a smooth circular cylinder of radius r as shown. At B, it leaves the cylinder. The equation relating α and β is

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