Identical cubes each of mass 'm' and side T' are on the horizontal surface.Then the minimum amount of work done to arrange them one on the other is

n' identical cubes each of mass 'm' and edge 'L' are on a floor. If the cubes are to be arranged one over the other in a vertical stack, the work to be done is

If n number of identical cubes, each of mass m and side a lying on level ground. Find the work done in piling them one above the other.

Three identical spheres each of radius 'R' are placed on a horizontal surface touching one another. If one of the spheres is removed, the shift in the centre of mass of the system is.

Two identical ladders, each of mass M and length L are resting on the rough horizontal surface as shown in the figure. A block of mass m hangs from P. If the system is in equilibrium, find the magnitude and the direction of frictional force at A and B.

Two identical ladders, each of mass M and length L are resting on the rough horizontal surface as shown in the figure. A block of mass m hangs from P. if the system is in equilibrium, find the magnitude and the direction of frictional force at A and B.

Six identical particles each of mass m are arranged at the corners of a regular hexagon of side length L . If the mass of one of the particle is doubled, the shift in the centre of mass is

A cubical block of side a and of mass m rests on a rough horizontal surface. A horizontal force F is applied to normal to one of the faces at height h above the base hgta//2 . What is the minimum value of F for which the cube begins to tip about an edge?

A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its (1/n)^(th) part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be:

A satellite of earth of mass 'm' is taken from orbital radius 2R to 3R, then minimum work done is :-

A uniform rod of mass 2kg and length l is lying on a horizontal surface. If the work done in raising one end of the rod through an angle 45^(@) is 'W' , then the work done in raising it further 45^(@) is