A ring of mass m connecting freely two identical thin hoops of mass M each starts sliding down. The hoops move apart over a rough horizontal surface. Determine the acceleration a of the ring at the initial instant if `/_AO_(1)O_(2) = alpha` (Fig), neglecting the friction between the ring and the hoops.

A block of mass m slides over a smooth wedge of mass M which is placed over a rough horizontal surface . The centre of mass of the system will move towards left Here mu = coefficient of friction between the wedge and the ground .

A ring of mass m having velocity v_(0) is placed on a long plank lies on smooth horizontal surface at time t=0 as shown. Find the time when the ring start pure rolling on the plank. [ mu is coefficient of friction between the ring and the plank.]

Cube of mass m kept on rough horizontal surface. Two insects each mass m . Moving in the cube with equal acceleration. a_(0) from D to E and H to F what is the frictional force by ground on the tube.

An impulse J is applied on a ring of mass m along a line passing through its centre O . The ring is placed on a rough horizontal surface. The linear velocity of centre of ring once it starts rolling without slipping is

A thin ring of mass m and radius R is in pure rolling over a horizontal surface. If v_0 is the velocity of the centre of mass of the ring, then the angular momentum of the ring about the point of contact is

A ring of mass M is kept on w horizontal rough surface . A force F is applied tangentially at its rim as shown . The coefficient of friction between the ring and surface is mu Then

A uniform ring placed on a rough horizontal surface is given a sharp impulse as shown in the figure-5.130. As a consequence, it acquires a linear velocity of 2m/s. If coefficient of friction between the ring and the horizontal surface is 0.4 :

Two identical beads each of mass 'm' can slide freely on a ring of mass M lying on smooth horizontal surface. The masses are brought to diametrically opposite positions and both are imparted with same tangential speed v in same direction. Find the kinetic energy of the ring when beads are about to collide.