A hollow vertical cylinder of radius R is rotated with angular velocity `omega` about an axis through its centre. What is the minimum coefficient of static friction between block M and cylinder wall necessary to keep the block suspended on the inside of the cylinder ?

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 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 solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

A solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

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 : .

In the arrangement shown in figure the cylinder of mass M is at rest on an incline. The string between the cylinder and the pulley (P) is horizontal. Find the minimum coefficient of friction between the incline and the cylinder which can keep the system in equilibrium. Also find the mass of the block. Assume no friction between the pulley (P) and the string.

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 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 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.