The topmost and bottommost velocities of a disc are `v_(1)` and `v_(2)(ltv_(1)` in the same direction. The radius is `R`. Find te value of angular velocity `omega`.

Two points of a rod move with velocity 3 v and v perpendicular to the rod and in the same direction. Separated by a distance r . Then the angular velocity of the rod is :

Two points of a rod move with velocity 3 v and v perpendicular to the rod and in the same direction. Separated by a distance r . Then the angular velocity of the rod is :

A disc is rotating with angular speed omega_(1) . The combined moment of inertia of the disc and its axle is I_(1) . A second disc of moment of inertia I_(2) is dropped on to the first and ends up rotating with it. Find the angular velocity of the combination if the original angular velocity of the upper disc was (a) zero (b) omega_(2) in the same direction as omega_(1) and (c) omega_(2) in a direction opposite to omega_(1) .

A disc is rotating with angular speed omega_(1) . The combined moment of inertia of the disc and its axle is I_(1) . A second disc of moment of inertia I_(2) is dropped on to the first and ends up rotating with it. Find the angular velocity of the combination if the original angular velocity of the upper disc was (a) zero (b) omega_(2) in the same direction as omega_(1) and (c) omega_(2) in a direction opposite to omega_(1) .

A particle is moving in a circular orbit of radius r_(1) with an angular velocity omega_(1) . It jumps to another circular orbit of radius r_(2) and attains an angular velocity omega_(2) . IF r_(2) = 0.5 r_(1) and assuming that no external torque is applied to that system, then, the angular velocity omega_(2) is given by

A particle is moving in a circular orbit of radius r_(1) with an angular velocity omega_(1) It jumps to another circular orbit of radius r_(2) and attains an angular velocity omega_(2) . If r_(2)= 0.5 r_(1) , and if no external torque is applied to the system, then the new angular velocity omega_(2) is given by

A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m . The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity omega . If the cockroach stops, the angular velocity of the disc will be