A man of mass m = 80kg runs at a speed u = 4m/s along the tangent to a disc shaped platform of mass M = 160kg and radius R = 2m. The platform is initially at rest and can rotate freely about an axis through it centre. Find the angular velocity (in rad/s) of the man after the man jumps on to the disc.

What constant torque should be appiled to a disc of mass 10 kg and diameter 50 cm so that it acquires an angular velocity of 2pi rad/s in 4 s ? The disc is initially at rest and rotates about an axis through the centre of the disc and in a plane perpendicular to the disc.

A man of mass m stands on the edge of a horizontal unifom disc of mass M and radius R whichis capable of rotating freely about a stationary vertical axis passing through its center. At a certain moment the man starts moving along the edge of the disc, he shifts over angle theta relative to the disc and then stops. Find the angle through which the disc rotates.

A circular disc of mass 2 kg and radius 0.1 m is rotating at an angular speed of 2 rad/s, about an axis passing through its centre and perpendicular to its plane. What is its rotational kinetic energy?

A man of mass m_(1) stands on the edge of a horizontal uniform disc of mass m_(2) and radius R which is capable of rotating freely about a stationary vertical axis passing through its centre . The man walks along the edge of the disc through angle theta relative to the disc and then stops . find the angle through which the disc turned the time the man stopped . [(2m_(1)theta)/(2m_(1) + m_(2))]

A man of mass m=2kg is standing on a platform of mass M=5kg , then at any instant.

A disc of mass 1 kg and radius 0.1 m is rotating with angular velocity 20 rad/s. What is angular velocity (in rad/s) if a mass of 0.5 kg is put on the circumference of the disc ?

A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis with an angular velocity of 4 rad/s. the linear momentum of the disc is

A man of mass m_1 stands on the edge of a horizontal uniform disc of mass m_2 and radius R which is capable of rotating freely about a stationary vertical axis passing through its centre. At a certain moment the man starts moving along the edge of the disc, he shifts over an angle varphi^' relative to the disc and then stops. In the process of motion the velocity of the man varies with time as v^'(t) . Assuming the dimensions of the man to be negligible, find: (a) the angle through which the disc had turned by the moment the man stopped, (b) the force moment (relative to the rotation axis) with which the man acted on the disc in the process of motion.

A uniform disc of mass M and radius R is rotating about a horizontal axis passing through its centre with angular velocity omega . A piece of mass m breaks from the disc and flies off vertically upwards. The angular speed of the disc will be