A smooth semicircular wire-track of radius R is fixed in a vertical plane. One end of a massless spring of natural length `3R//4` is attached to the lowest point O of the wire-track. A small ring of mass m, which can slide on the track, is attached to the other end of the spring. The ring is held staionary at point P such that the spring makes an angle of `60^@` with the vertical. The spring constant `K=mg//R`. Consider the instant when the ring is released, and (i) draw the free body diagram of the ring, (ii) determine the tangential acceleration of the ring and the normal reaction.

A smooth semicircular wire track of radius R if fixed in a vertical plane. One end of massless spring of netural length (3R)/(4) is attached to the lowest point O of the wire track. A small ring of mass m which can slide on the track is attched to the other end of the spring. the ring is held stationary at point P such that the spring makes an angle of 60^(@) with the vertical. The spring constant is K = (mg)/(R ) . considering the instance when the ring is released, the free body diagram of the ring, when a_(T) is tengential acceleration, F is restoring force and N is normal reaction is

one end of a spring of natural length ha and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is allowed to slide on a horizontal rod fixed at a height h figure. Initially, the spring makes an angle of 37^0 with the vertical when the system is released from rest. find the speed of the ring when the spring becomes vertical.

one end of a spring of natural length h and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is allowed to slide on a horizontal rod fixed at a height h figure. Initially, the spring makes an angle of 37^0 with the vertical when the system is released from rest. find the speed of the ring when the spring becomes vertical.

"A mass is attached to one end of a spring and by holding the other end in hand, the spring is whirled in a horizontal circle" What happens to the length of the spring ?

one end of a spring of naturla length ha and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is alowed to slide on a horizontal rod fixed at a height h figure. Initialy, the spring makes an angle of 37^0 with the vertical when teh system is released from rest. find teh speed of the ring when teh spring becomes vertical.

One end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is attached to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in fig. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. [ sin 37^(@) = 3/5]