STRING MASS & PULLEYPROBLEM INVOLVING FRICTION

A string is wrapped around a cylinder of mass M and radius R . The string is pulled vertically upwards to prevent the centre of mass from falling as the cylinder unwinds the string. The tension in the string is

A string of negligible mass is wrapped on a cylindrical pulley of mass M and radius R. The other end of string is tied to a bucket of mass m. If the pulley rotates about a horizontal axis then the tension in the string is :

In the arrangement shown in figure what should be the mass of block A , so that the system remains at rest ? Neglect friction and mass of string.

In the figure shown a ring of mass M and a block of mass m are in equilibrium. The string is light and pulley P does not offer any friction and coefficient of friction between pole and M is mu. The frictional force offered by the pole to M is

A rod of mass m is supported by string AB and friction due to wall. Then friction force on rod due to wall is : (g= acceleration due to gravity )

A string is wound round the rim of a mounted flywheel of mass 20 kg and radius 20 cm . A steady pull of 25 N is applied on the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel in rad//s^(2) is

A string wrapped around a cyliner of mass m and radius R . The end of the string is connected to block of same mass hanging vertically. No friction exists between the horizontal surface and cylinder. Acceleration of cylinder is: