Systems of Part...

A solid cylinder of mass M and R is mounted on a frictionless horizontal axle so that it can freely rotate about this axis. A string of negligible mass is wrapped round the cylinder and a body of mass m is hung from the string as shown in figure the mass is released from rest then___
The acceleration with which the mass falls is

The angular speed of cylinder is proportional to hⁿ , where h is the height through which mass falls, Then the value of n is___

The moment of inertia of a uniform circular disc of mass M and radius R about any of its diameter is 1⁄4MR² , what is the moment of inertia of the disc about an axis passing through its centre and normal to the disc?

A cylinder of mass m and radius r is rotating about its axis with constant speed v Its kinetic energy is _____

A circular disc of mass m and radius r is rolling on a smooth horizontal surface with a constant speed v. Its kinetic energy is _____

A solid sphere is rotating about a diameter at an angular velocity w. if it cools so that its radius reduces to 1/n of its original value. Its angular velocity becomes_____

If the original rotational K.E. of the sphere is K, Its new value will be_____

A solid sphere is rotating about a diameter due to increase in room temperature, its volume increases by 5%, If no external torque acts. The angular speed of the sphere will.

A uniform rod of length L is suspended from one end such that it is free to rotate about an axis passing through that end and perpendicular to the length, what maximum speed must be imparted to the lower end so that the rod completes one full revolution?

The height of a solid cylinder is four times that of its radius. It is kept vertically at time t=o on a belt which is moving in the horizontal direction with a velocity v = 2.45t² where v in m/s and t is in second. If the cylinder does not slip, it will topple over a time t = ____