A bullet of mass `m` moving with velocity `v` strikes and becomes embedded at the edge of a cylinder of mass `M` and radius `R_(0)` as shown in fig. The cylinder, initially at rest, begins to rotate about its symmetry axis, which remains fixed in position. Assuming no frictional torque, what is the angular velocity of the cylinder after this collision? Kinetic energy conseved?

A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

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 solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

A solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

A small body of mass 100 g moving with a velocity 2 m/s is strikes a solid cylinder of mass 2 kg and radius 20 cm. The cylinder is initially at rest and is mounted on a fixed horizontal axle that passes through the centre of mass. The line of motion of the small body is at a perpendicular lar distance of 15 cm from the centre of the cylinder. The small body strikes the cylinder and adheres to its surface. What is the angular speed of the system just after the collision ? Assume there is no friction.