A hollow cylinder of radius `R` rotates about its axis which is vertical. A block remains in contact with the inner wall if the frequency of rotation is `f` hertz, but falls at lower frequaencies. The coefficient of friction between the block and the cylinder is

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

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 cylinder of radius R is rotating about its horizontal axis with constant omega=sqrt((5g)/R) . A block of mass m is kept on the inner surface of the cylinder. Block is moving in vertical circular motion without slipping. co–efficient of friction between block and surface of cylinder is mu . If minimum value of mu for complete vertical circular motion of block is (2sqrt(6))/(3x) then find 'x'.

A cylinder of radius R is rotating about its horizontal axis with constant omega=sqrt((5g)/R) . A block of mass m is kept on the inner surface of the cylinder. Block is moving in vertical circular motion without slipping. co–efficient of friction between block and surface of cylinder is mu . If minimum value of mu for complete vertical circular motion of block is (2sqrt(6))/(3x) then find 'x'.

force F = 100 N is applied horizontally on a block of mass 4 kg. Which is in contact with a wall. Such that it does not fall. The coefficient of friction between the block and the wall is

A person is in contact with inner wall of a vertical hollow cylinder of radius 2m without floor under his feet, remains in equilibrium without slipping down when the cylinder is rotated about it's own vertical axis. If the coefficient of static friction between person and wall of cylinder is 0.4, the minimum angular velocity of cylinder should be

A hemispherical bowl of radius R is rotated about its axis of symmetry which is kept vertical.A small block is kept in the bowl at a position where the radius makes an angle theta with the vertical. The block rotates with the bowl without any slipping. The friction coefficient between the block and the bowl surface is mu . Find the range of the angular speed for which the block will not slip.