Dynamics of UCM #!#Coin placed over a rough disc rotating with uniform angular velocity

A disc with moment of inertia I_(1) , is rotating with an angular velocity omega_(1) about a fixed axis. Another coaxial disc with moment of inertia I_(2) , which is at rest is gently placed on the first disc along the axis. Due to friction discs slips against each other and after some time both disc start rotating with a common angular velocity. Find this common angular velocity.

A non-conducting disc having unifrom positive charge Q , is rotating about its axis with unifrom angular velocity omega .The magnetic field at the centre of the disc is.

A round disc of moment of inertia I_2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_1 rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of discs is.

A coin is placed at the edge of a horizontal disc rotating about a vertical axis through its axis with a uniform angular speed 2 rad s^(-1) . The radius of the disc is 50 cm. Find the minimum coefficient of friction between disc and coin so that the coin does not slip. (Take g = 10 m//s^(2) )

A circular disc of radius R is rotating about its axis O with a uniform angular velocity omega"rad s"^(-1) as shown in the figure. The magnitude of the relative velocity of point A relative to point B on the disc is

A uniform circular disc of radius R is rotating about its own axis with moment of inertia I at an angular velocity omega if a denser particle of mass m is gently attached to the rim of disc than its angular velocity is

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 uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v_(0) and angular velocity omega_(0) as shown. The disc comes to rest after moving some distance to the right. It follows that

A uniform disc of mass M and radius R is rotating in a horizontal plane about an axis perpendicular to its plane with an angular velocity omega . Another disc of mass M/3 and radius R/2 is placed gently on the first disc coaxial. Then final angular velocity of the system is