Identical blocks each of mass `M` and length `L` are placed one above the other such that each extends out by a maximum length as shown in figure. Find the maximum extension of the `n^(th)` block from the top, so that the blocks will not fall.

Four identical rods of mass M and length L are placed on one another on the table so as to produce the maximum overhang as shown in figure. The maximum total overhang will be :

A block of mass 1 kg is placed on a wedge shown in figure. Find out minimum coefficient of friction between wedge and block to stop the block on it.

Two blocks each having a mass M are placed as shown in the figure. The accleration of the system is:-

Find the maximum value of force F such that the block shown in the figure does not move

Three blocks A,B and C of equal mass m are placed one over the other on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is 1/2. the maximum value of mass of block D so that the blocks A,B and C move without slippping over each other is

There block A B ,and C of equal mass m are placed one over the other on a frictionless surface (table) as shown in figure The coefficient of friction between any blocks A ,B and C is mu The maximum value of mass of block D so that the blocks A,B and C move without slipping over each other 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.