[" System is shown in the figure.Assume that cylinder remains in contact with the two wedges.Find the "],[" velocity of cylinder."],[qquad um/s+int_(30^(-))(0)]

A system is shown in fig. Assume that the cylinder remains in contact with the two wedge. Then the velocity of cylinder is

A system is shown in fig. Assume that the cylinder remains in contact with the two wedge. Then the velocity of cylinder is

A bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.

A bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.

A cylinder of mass 1/sqrt(3)kg is placed on the corner of two inclined planes as shown in the figure.Find the normal reaction in newtons at contact point of cylinder with the slope of inclination 30^(@) g=10m/s^(2)

A system is shown in the figure. A man standing on the block is pulling the rope. Velocity of the point of string in contact with the hand of the man is 2 m//s downwards. The velocity of the block will be [assume that the block does not rotate]

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.

A system of identical cylinders and plates is shown in Fig. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are V and 2V , respectively, as shown in Fig. Then the ratio of angular speeds of the upper cylinders to lower cylinders is