A particle of mass \( 5 \mathrm{~kg} \) is free to slide on a smooth ring of radius \( r=20 \mat... VIDEO
A particle of mass \( 5 \mathrm{~kg} \) is free to slide on a smooth ring of radius \( r=20 \mathrm{~cm} \) fixed in a vertical plane. The particle is 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 \( \angle O C A=60^{\circ}, C \) being the center of the ring. The natural length of the spring is also equal to \( r=20 \mathrm{~cm} \). 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 \( B \). Determine the force constant (in \( \times \) \( 10^{2} \mathrm{Nm}^{-1} \) ) of the spring.
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