A ring 'A' of mass 'm' is attached to a stretched spring of force constant `K`, which is fixed at `C` on a smooth vertical circular track of radius `R`. Points `A` and `C` are diametrically opposite. When the ring slips form rest in the track to point `B`, making an angle of `30^@` with `AC`. `(/_ ACB = 30^@)` spring becomes unstretched. Find the velocity of the ring at `B`.
.

A bead of mass m is attached to one end of a spring of natural length R and spring constant K=((sqrt(3)+1)mg)/(R ) . The other end of the spring is fixed at a point A on a smooth vertical ring of radius R as shown in fig. The normal reaction at B just after it is released to move is

A bead of mass m is attached to one end of a spring of natural length R and spring constant K=((sqrt(3)+1)mg)/(R ) . The other end of the spring is fixed at a point A on a smooth vertical ring of radius R as shown in fig. The normal reaction at B just after it is released to move is

A bead of mass 'm' is attached to one end of a spring of natural length R & spring constant k = ((sqrt3 + 1))/(R) . The other end of the spring is fixed at point A on a smooth vertical ring of radius R as shown. The normal reaction at B just after it is released to move is

A Bead of mass m is attached to one end of a spring of natural length 'R' and spring cosntant 'k=((sqrt3+1)mg)/R' . The other end of the spring is fixed at point 'A' on a smooth vertical ring of radius 'R' as shown

A ring of mass m and radius r has a particle of mass m attached to it at a point A. the ring can rotate about a smooth horizontal axis which is tangential to the ring at a point B diametrically opposite to A. The ring can rotate about a smooth horizontal axis which is tangential to the ring at a point B diametrically opposite to A. The ring is released from rest when AB is horizontal. find the angular veloicity and the angular acceleration of the body when AB has turned through an angle (pi)/(3) .

Find velocity of ring when spring becomes horizontal

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 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