A system of masses is shown in the figure with masses & coefficients of friction indicated. Calculate the maximum value of F for which there is no slipping anywhere.

For the given dimensions shown in figure, find critical value of coefficient of friction mu

A horizontal force F acts on the sphere at its centre as shown. Coefficient of friction between ground and sphere is mu . What is maximum value of F for which there is no slipping?

A small block of mass 2 kg is placed on a bigger block of mass 4 kg which is attached to horizontal spring of spring constant K = 500 N //m as shown in figure, coefficient of friction between block is 0.2 .Maximum amplitude of system so that there is no relative slipping between blocks.

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

A solid sphere of mass m is lying at rest on a rough horizontal surface. The coefficient of friction between the ground and sphere is mu . The maximum value of F , so that the sphere will not slip, is equal to

In the system shown in the figure, the acceleration of 1 kg mass is

A mass of mass 60 kg is pulling a mass M by an inextensible light rope passing through a smooth and massless pulley as shown in figure. The coefficient of friction between the mass and ground is mu = 1//2 find the maximum value of M that can be pulled on the ground