In the figure shown, a light container is kept on a horizontal rough surface of coefficient of friction `mu=(Sh)/V`. A very small hole of area S is made at depth 'h'. Water of volume 'V' is filled in the container. The friction is not sufficient to keep the container at rest. The acceleration of the container initially is

An equilateral prism of mass m rests on a rough horizontal surface with coefficient of friction mu . A horizontal force F is applied on the top of prism as shown in figure. If the coefficient of friction is sufficiently high so that the prism does not slide before topping, the minimum force required to topple the prism is

An equilateral prism of mass m rests on a rough horizontal surface with coefficient of friction mu . A horizontal force F is applied on the prism as shown in figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, the minimum force required to topple the prism is

A cubical block of side .L. rests on a rough horizontal surface with coefficient of friction mu . A horizontal force F is applied on the block as shown in figure. The minimum force required to topple the block is

A cubical block of side L rests on a rough horizonta surface with coefficient of friction mu . A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

Small sphere of mass m and radius r is kept on fixed inclined rough surface. Surface makes an angle with the horizontal. Initially centre of sphere is at a height h above the horizontal floor. Coefficient of friction between the sphere and surface is u. Sphere is released from the state of rest. Assume friction is not sufficient to provived pure rolling. Acceleration of the sphere is

The diagram shows a tall cylindrical container kept on a horizontal surface. From a tap, water come with constant rate q m^(3)//s . Initially the container was empty. An orifice of area of cross section A is made at some height h in the side wall of the container. If the horizontal range of the water jet in steady is found to be 2h, then the relation between h and q is

The diagram shows a tall cylindrical container kept on a horizontal surface. From a tap, water come with constant rate q m^(3)//s . Initially the container was empty. An orifice of area of cross section A is made at some height h in the side wall of the container. If the horizontal range of the water jet in steady is found to be 2h, then the relation between h and q is