IIT Jee Problem: A metal coin of mass 5g and radius 1cm is fixed to a stick AB of negligible mass as shown.

A metal coinn of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the figure. The system is initially at rest. The constant torque, hat will make the system rotate about AB at 25 rotations per second in 5s. Is close to

A solid cylinder of mass M and of radius R is fixed on a frictionless axle over a well. A rope negligible mass is wrapped around the cylinder. A bucket of uniform mass m is suspended from it. The linear acceleration bucket will:

The moment of inertia of a cylinder of mass 1000gm and radius 20cm about the axis AB shown in figure is

A body of mass 20kg is moving on a rough horizontal plane. A block of mass 3kg is connected to the 20 kg mass by a string of negligible mass through a smooth pulley as shown in the figure. The tension in the string is 27 N. The coefficient of kinetic friction between the heavier mass and the surface is (g = 10m/ s^2 )

the position vector of the centre of mass lt to r cm of an asymmetric uniform bar of negligible area of cross - section as shown in figure is :

Two masses m_1 and m_2 are placed on a smooth horizontal surface and are connected by a string of negligible mass. A horizontal force F is applied on the mass m_2 as shown in the figure. The tension in the string is

A point particle of mass m is released from a distance sqrt(3)R along the axis of a fixed ring of mass M and radius R as shown in figure. Find the speed of particle as it passes through the centre of the ring.

Two blocks of masses m_(1) and m_(2) are connected by a string of negligible mass which pass over a frictionless pulley fixed on the top of an inclined plane as shown in figure. The coefficient of friction between m_(1) and plane is mu .

A rope of negligible mass is wound around a hollow cylinder of mass 3 kg and radius 40 cm . What is the angular acceleration of the cylinder, if the rope is pulled with a force of 30 N ? What is the linear acceleration of the rope ? Assume that there is no slipping.

A particle of mass m and velocity v_(0) is fired at a solid cylinder of mass M and radius R. The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through the centre of mass. The line of motion of the particle is perpendicular to the axle and at a distance d, less than R, from the centre and the particle sticks to the surface of the cylinder, then