Two small rings O and O' are put on two vertical stationary rods AB and A'B', respectively. One end of an inextensible thread is tied at point A'. The thread passes through ring `O'` and its other end is tied to ring O. Assuming that ring O' moves downwards at a constant velocity `v_(1)`, then velocity `v_(2)` of the ring O, when `/_AOO'=alpha` is

Two small rings O and O' are put on two vertical stationery rods AB and A'B' , respectively. One end of an inextensible thread is tied at point A' . The thread passes through ring O' and its other end is tied to ring O . Assuming that ring O' moves downwards at a constant velocity v_(1) , determine the velocity v_(2) of the ring O , when /_AOO'=alpha .

Two small rings O and O' are put on two vertical stationery rods AB and A'B' , respectively. One end of an inextensible thread is tied at point A' . The thread passes through ring O' and its other end is tied to ring O . Assuming that ring O' moves downwards at a constant velocity v_(1) , determine the velocity v_(2) of the ring O , when /_AOO'=alpha .

Two rings O and O' are put on two vertical stationary rods AB and A'B' respectively as shown in figure. An inextensible string is fixed at point A' and on ring O and is passed through O' moves downwards at a constant speed v, find the velocity of the ring O in terms of alpha .

A ring A which can slide on a smooth wire is connected to one end of a string as shown in fig. Other end of the string is connected to a hanging mass B. Find the speed of the ring when the string makes an angle theta with the wire and mass B is going down with a velocity v.

A ring A which can slide on a smooth wire is connected to one end of a string as shown in fig. Other end of the string is connected to a hanging mass B. Find the speed of the ring when the string makes an angle theta with the wire and mass B is going down with a velocity v.

A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate about its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system?

A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate about its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system?

A uniform conducting wire is used to make a ring and its two diameters AB and CD. The ring is placed in a uniform magnetic field B perpendicular to its plane. The resistance of the wire per unit length is lambda Omega//m . (a) Find the current in BO and BC when the ring is moved with constant velocity v in its plane. (b) Find current in BO and BC when the ring is kept stationary but the magnetic field is increased at a constant rate of (dB)/(Dt) = alpha T//s . Assume that magnetic field is confined inside the circular ring only. Take radius of the ring to be a.