A uniform cylinder of radius `R` is spinned about it axis to the angular velocity `omega_(0)` and then placed into a corner,. The coeficient of friction between the corner walls and the cylinder is `mu_(k)` How many turns will the cylinder accomplish before it stops?

A uniform cylinder of the radius R ( = 3 m) is spin about its axis at an angular velocity omega_(0)(=40 sqrtpi" rad s"^(-1)) and placed between two perpendicular walls. The coefficient of friction between the walls and cylinder is mu(=2). Then, how many rotations will the cylinder make before it comes to rest?

A uniform circular ring of radius R is first rotated about its horizontal axis with an angular velocity omega_0 and then carefully placed on a rough horizontal surface as shown. The coefficient of friction between the surface and the rings mu . Time after which its angular speed is reduced to 0.5 omega_0 is

A uniform solid cylinder of mass m and radius R is set in rotation about its axis with an angular velocity omega_(0) , then lowered with its lateral surface onto a horizontal plane and released. The coefficient of friction between the cylinder and the plane is equal to mu . Find ( a ) how long the cylinder will move with sliding, ( b ) the total work performed by the sliding friction force acting on the cylinder.

An cylinder of mass m is rotated about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then : .

A cylinder with radius R spins about its horizontal axis with angular speed omega . There is a small block lying on the inner surface of the cylinder. The coefficient of friction between the block and the cylinder is mu . Find the value of omega for which the block does not slip, i.e., stays at rest with respect to the cylinder.

A uniform cylinder of mass M and radius R is placed on a rough horizontal board, which in turn is placed on a smooth surface. The coefficient of friction between the board and the cylinder is mu . If the board starts accelerating with constant acceleration a, as shown in the figure, then

A cylinder full of water is rotating about its own axis with uniform angular velocity omega . Then the shape of free surface of water will be

A cylinder of mass m radius R is spined to a clockwise angular velocity omega_(o) and then gently placed on an inclined plane for which coefficient of friction mu = tan theta, theta is the angle of inclined plane with the horizontal. The centre of mass of cylinder will remain stationary for time

A horizontal ring of radius r spins about its axis with an angular velocity omega in a uniform vertical magnetic field of magnitude B . The emf induced in the ring is

A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination theta . The coefficient of friction between the cylinder and incline is mu . Then.