Two cylinders with radii `r_(1)` and `r_(2)` and rotational inertia `I_(1)` and `I_(2)` are supported on their horizontal axles. The first one is set in rotation with angular velocity `epsilon`. The axle of the other cylinder (smaller) is moved until it touches the large cylinder and is caused to rotate by the frictional forces between the two. Find the angualr velocity of the two cylinders after slipping ceases between them.
[Hint: Consider angular impulse received by the cylinders]

Two cylinders having radiii R_(1) and R_(2) and rotational inertia I_(1) and I_(2) respectively, are supported by fixed axes perpendicular to the plane of figure-5.52. The large cylinder is initially rotating with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually, slipping ceases, and the two cylinders rotate at constant rates in opposite directions, (a) Find the final angular velocity omega_(2) of the small cylinder in terms of I_(1) , I_(2) , R_(1) , R_(2) and omega_(0) . (b) Is total angular momentum conserved in this case ?

Two cylinders having radii 2R and R and moment of inertia 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this

Two cylinders having radii 2R and R and moment of inertia 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this

Two cylinders having radii 2R and R and moment of inertia 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this (A) angular momentum of system is conserved (B) kinetic energy is conserved (C neither the angular momentum nor the kinetic energy is conserved (D) both the angular momentum and kinetic energy are conserved

Figure shows two cylinders of radii r_1 and r_2 having moments of inertia I_1 and I_2 about their respective axes. Initially the cylinders rotate about their axes with angular speed omega_1 and omega_2 as shown in the figure. The cylinders are moved closer to touch each other keeping the axes parallel. The cylinders first slip over each other at the contact but the slipping finally ceases due to the friction between them. Find the angular speeds of the cylinders after the slipping ceases.

Figure shows two cylinders of radii r_1 and r_2 having moments of inertia I_1 and I_2 about their respective axes. Initially the cylinders rotate about their axes with angular speed omega_1 and omega_2 as shown in the figure. The cylinders are moved closer to touch each other keeping the axes parallel. The cylinders first slip over each other at the contact but the slipping finally ceases due to the friction between them. Find the angular speeds of the cylinders after the slipping ceases.

Figure shows two cylinders of raddi r_1 and r_2 having moments of inertia I_1 and I_2 about their respective axes. Initially the cylinders rotate about their axes with angular speed omega_1 and omega_2 as shown in the figure. The cylinders are moved closer to touch each other keeping the axes parallel. The cylinders first slipover each other at the contact but the slipping finally ceases due to the friction between them. Find the angular speeds of the sylinders after the slipping ceases.

A solid cylinder of mass 20 kg rotates about its axis with angular velocity of 100 radian s^(-1) . The radius of the cylinder is 0.25m . The magnitude of the angular momentum of the cylinder about its axis of rotation is

A solid cylinder of mass 20 kg rotates about its axis with angular velocity of 100 radian s^(-1) . The radius of the cylinder is 0.25m . The magnitude of the angular momentum of the cylinder about its axis of rotation is