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 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 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 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 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.