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

Physics · Work , Power and Energy · vertical circular motion

JEE Advanced

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

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