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 cylinder of radius 1 m, mass 1 kg spins about its axis with an angular velocity 20 rad/s. At certain moment, the cylinder is placed into a corner as shown in the figure. The coefficient of friction between the horizontal wall and the cylinder is mu , whereas the vertical wall is frictionless. If the number of rounds made by the cylinder is 5 before it stops, then the value of mu is (acceleration due to gravity, g = 10 m//s^2 )

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 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