A block of mass m is kept over a fixed smooth wedge. Block is attached to a sphere of same mass through fixed massles pullies `P_(1)` and `P_(2)`, sphere is dipped inside the water as shown. If specfic gravity of material of sphere is 2. Find the acceleration of sphere.

A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30^(@) with the vertical. The box is released from this position (a) What is the force exerted by the sphere on the box just after the release ? (b) Find the distance travelled by the box before it leaves contact with the sphere.

A particle of mass m is kept on a fixed, smooth sphere of radius R at a position, where the radius through the particle makes an angle of 30 ∘ with the vertical. The particle is released from this position. (a) What is the force exerted by the sphere on the particle just after the release? (b) Find the distance traveled by the particle before it leaves contact with the sphere.

A particle of mass m is kept on a fixed, smooth sphere of radius R at a position, where the radius through the particle makes an angle of 30 ∘ with the vertical. The particle is released from this position. (a) What is the force exerted by the sphere on the particle just after the release? (b) Find the distance traveled by the particle before it leaves contact with the sphere.

A block of mass m_(1)=2 kg is kept on a smooth horizontal table. Another block of mass m_(2)=1 kg is connected to m_(1) by a light inextensible string passing over a smooth pulley as shown in the figure. If the blocks are released, what will be the (a) acceleration of each block (b) tension in the string?

A block of mass m_(1)=2 kg is kept on a smooth horizontal table. Another block of mass m_(2)=1 kg is connected to m_(1) by a light inextensible string passing over a smooth pulley as shown in the figure. If the blocks are released, what will be the (a) acceleration of each block (b) tension in the string?

A solid sphere of radius R has a concentric cavity of radius ' R//2 ' inside it. The sphere is found to just float in water with the highest point of it touching the water surface. The specific gravity of the material of the sphere is