Two uniform solid cylinders A and B each of mass 1 kg are connected by a spring of constant `200Nm^(-1)` at their axles and are placed on a fixed wedge as shown in fig.There is no friction between cylinders and wedge. The angle made by the line AB with the horizontal, in equilibirum is

Two blocks A and B of masses 5 kg and 2 kg respectively connected by a spring of force constant = 100Nm^(-1) are placed on an inclined plane of inclined 30^(@) as shown in figure If the system is released from rest

Two blocks A and B of masses 5 kg and 2 kg respectively connected by a spring of force constant = 100Nm^(-1) are placed on an inclined plane of inclined 30^(@) as shown in figure If the system is released from rest

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 uniform cylinders, each of mass m = 10 kg and radius r = 150 mm, are connected by a rough belt as shown. If the system is released from rest, determine the tension in the portion of the belt connecting the two cylinders.

Two wedges, each of mass m , are placed next to each other on a flat horizontal floor. A cube of mass M is balanced on the wedges as shown in figure. Assume no friction between the cube and the wedges, but a coefficent of static friction mult1 between the wedges and the floor. What is the largest M that can be balanced as shown without motion of the wedges ?

Two uniform solid cylinders, each of mass m = 10 kg and radius r = 150 mm, are connected by a rough belt as shown. If the system is released from rest, determine the velocity of the centre of cylinder A after it has moved through 1.2 m & the tension in the portion of the belt connecting the two cylinders.

Two very small particles 1 and 2 each of mass 0.5kg and of charge q_(1)=1mc and q_(2)=1muC resepectivley are connected by a mass less spring of spring constant 200Nm^(-1) and placed on a horizontal rough surface.The particle 1 is fixed and 2 is free to move ,Initially the spring is in its natural length (2m) where q_(2) is released.If coefficient of static friction between 2 and horizontal surface is 0.5 the separation between the charges when they are in equilibrium will be (Neglect gravitational interactions between 1 and 2g=10ms^(-2)

A uniform plank of mass m = 1kg , free to move in the horizontal direction only, is placed at the top of a solid cylinder of mass 2m and radius R . The plank is attched to a fixed wall by means of light spring of spring constant k = 7N//m^(2) . There is no slipping between the cylinder and the plank, and between the cylinder and the ground. the angular frequency of small oscillations of the system is