In Fig a sphere of radius `2 m` rolls on a plank. The accelerations of the sphere and the plank are indicated. The value of `alpha` is

In the following figure, a sphere of radius 3m rolls on a plank. The accelerations of the sphere and the plank. The accelerations of the sphere and the plank are indicated. The value of alpha is

A sphere of radius 1 m is kept on a plank kept on horizontal surface. Accelerations of plank and centre of sphere are indicated in the figure. If sphere is not slipping on the plank then its angular acceleration is

A plank of mass M is placed on a rough horizontal force F is applied on it A man of mass m rens on the plank find the acceleration of the man so that the plank does not move on the surface . The coefficent of friction between the plank and the surface is mu Assume that the man does not slip on the plank

A plank of mass M is placed on a rough horizontal surface and a contant horizontal force F is applied on it . A man of mass m runs on the plank find the range of acceleration of the man that the plank does not move on the surface is mu .Assume that the does not slip on the plank

A plank of mass m_(1) with a uniform solid sphere of mass m_(2) placed on it rests and a force F is applied to the plank. The acceleration of the plank provided there is no sliding between the plank and the sphere is (F/(m_(1)+n/7m_(2))) then the value of n is

In Fig. a coil of single turn is wound on a sphere of radius r and mass m. The plane of the coil is parallel to the inclined plane and lies in the equatorial plane of the sphere. If the sphere is in rotational equilibrium, the value of B is [Current in the coil is i]

Block of mass m rests on the plank B of mass 3m which is free to slide on a frictionless horizontal surface. The coefficient of friction between the block and plank is 0.2. If a horizontal force of magnitude 2 mg is applied to the plank B, the acceleration of A relative to the plank and relative to the ground respectively, are

The value of plank's constant is : -