A flywheel of mass 30 kg has a radius of 0.2 m .What force should be applied tangentially to the rim of the flywheel so that it acquires an angular acceleration of `23 rad//s^2`?

A rope of negligible mass is wound round 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 wheel of radius 10 cm can rotate freely about its centre as shown in fig.A string is wrapped over its rim and is pulled by a force of 5.0N .It is found that the torque prodces an angular acceleration 2.0 rad//s in the wheel.calculate the moment of inertia of the wheel.

Two forces are applied on a block of mass m = 2 kg . How much force should be applied and in which direction to produce an acceleration of 1m//s^2 . The surface is smooth. towards right?

A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad s^-1 . The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

An automobile vehicle has mass of 1,500 kg. What must be the force between vehicle and the road if vehicle is to be stopped with negative acceleration of 1.7 ms^(-2) ?

A string is wrapped around the rim of a wheel of moment of inertia 0.20 kg m^2 and radius 20 cm.the wheel is free to rotate about its axis .Initially,the wheel is at rest.The string is now pulled by a force of 20 N.Find the angular velocity of the wheel after 5.0 seconds.