A small cube of mass `m` slides down a circular path of radius R cut into a large block of mass M, as shown in figure. M rests on a table, and both blocks move without friction. The blocks are initially at rest, and m starts from the top of the path. Find the horizontal distance from the bottom of block where cube hits the table

A small cube of mass m slides down a circular path of radius R cut into a large block of mass M. M rests on a table and both blocks move without friction. The blocks initially are at rest and m starts from the top of the path. Find the velocity v of the cube as it leaves the block.

A block of mass m slides down along the surface of the bowl from the rim to the bottom as shown in fig. The velocity of the block at the bottom will be-

A uniform solid cylinder of mass 2 kg and radius 0.2 m is released from rest at the top of a semicircular track of radius 0.7 m cut in a block of mass M = 3 kg as shown in Fig. The block is resting on a smooth horizontal surface and the cylinder rolls down without slipping. Based on the above information, answer the following questions: The distance moved by the block when the cylinder reaches the bottom of the track is

A small block of mass m slides along a smooth frictional track as shown in the figure. If it starts from rest at P, what is the resultant force acting on it at Q?

The block of mass m is at rest. Find the tension in the string A .

What is the minimum value of the mass M so that the block is lifted off the table at the instant shown in the diagram ? Assume that the blocks are initially at rest. .

A small block of mass m is released from rest from position A inside a smooth hemispherical bowl of radius R as shown in figure Choose the wrong option.

A uniform solid cylinder of mass 2 kg and radius 0.2 m is released from rest at the top of a semicircular track of radius 0.7 m cut in a block of mass M = 3 kg as shown in Fig. The block is resting on a smooth horizontal surface and the cylinder rolls down without slipping. Based on the above information, answer the following questions: The speed of the point of contact of the cylinder with the block w.r.t. ground, when the cylinder reaches the bottom of the track is

A block of mass m slides down on inclined wedge of same mass m as shown in figure . Friction is absent everywhere . Acceleration of centre of mass of the block and wedge is