A bead of mass '
' slides without friction on the wall of a vertical circular hoop of radius '
' as shown in figure. The bead moves under the combined action of gravity and a massless spring (k) attached to the bottom of the hoop. The equilibrium length of the spring is '
'. If the bead is released from top of the hoop with (negligible) zero initial speed, velocity of bead, when the length of spring becomes '
', would be (spring constant is ' k ', g is acceleration due to gravity)
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Work energy theorem

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