Consider the system shown below, with two equal masses `m` and a spring with spring constant `K`. The coefficient of friction between the left mass and horizontal table is `mu=1//4`, and the pulley is frictionless. The spring connecting both the blocks is massless and inelastic. The system is held with the spring at its unstretched length and then released.

The minimum value of `mu` for which the system remains at rest once it has stopped for the first time is

Consider the system shown below, with two equal masses m and a spring with spring constant K . The coefficient of friction between the left mass and horizontal table is mu=1//4 , and the pulley is frictionless. The spring connecting both the blocks is massless and inelastic. The system is held with the spring at its unstretched length and then released. The extension in spring when the masses come to momentary rest for the first time is

Consider the system shown below, with two equal masses m and a spring with spring constant K . The coefficient of friction between the left mass and horizontal table is mu=1//4 , and the pulley is frictionless. The spring connecting both the blocks is massless and inelastic. The system is held with the spring at its unstretched length and then released. The extension in spring when the masses come to momentary rest for the first time is

Consider the system shown below, with two equal masses m and a spring with spring constant K . The coefficient of friction between the left mass and horizontal table is mu=1//4 , and the pulley is frictionless. The spring connecting both the blocks is massless and inelastic. The system is held with the spring at its unstretched length and then released. If the string connecting both the masses is cut just at the instant both masses came to momentary rest for the first time in question 5, then maximum compression of spring during resulting motion is (Take mu=1//4 )

In the system as shown in figure, the blocks have masses m_(1) and m_(2) , the spring constant is k, coefficient of friction between the block of mass m_(1) and the surface is mu . The system is released with zero initial speed from the position where the spring is in its natural length.

Two blocks of Masses M and 2M are connected by a spring of stiffness k .The coefficient of friction between the blocks and the surface is mu Find the minimum constant force F to be applied to 2m in order to slide the mass M .

An ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is

An ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is