A mass `m` on a frictionless table is attached to a hanging mass M by a cord length `l` passing through a hole in the table. Find the speed with which `m` must spin for M to stay at the highest point. If this speedis doubled, what will be the force with which M will press the table ?

A mass m on a friction less table is attached to a hanging mass M by a cord through a hole in the table . Then the angular speed with which m must spin for M stay at rest will be

A mass of 0.675 kg on a frictionless table is attached to a string which passes through a hole in the table at the centre. If the radius of the circle in which the mass rotates, is 5 m when its speed is 10 ms^(-1) , find the tension of the string. It is found that on drawing down the string by 0.2 m, the tension is increased 4.63 times. Calculate the work done by the string on the revolving mass during the reduction of the radius. [Hint : Apply work-energy theorem to find work done by the force]

A puck of mas m=1.50 kg slides in a circle of radius r=25.0 cm on a frictionless table while attached to a hanging cylinder of mass M=2.50 kg by means of a cord that extends through a hole in the table. What speed keeps the cylinder at rest?

Consider a uniform chain of mass m and length L , the chain is released when hanging length is L_0 . Find the speed with which the chain leaves the table.

Consider a uniform chain of mass m and length L , the chain is released when hanging length is L_0 . Find the speed with which the chain leaves the table.

A block of mass M is situation on a smooth horizontal frictionless table. A thread tied to the block passes through a hole in the table and carries a mass m at its other end if the length of the thread above the table is l, what should be the value of m so that it may remain suspended at a constant height and the block M moves in a circular p-ath with an angular velocity omega on the table?

A mass m rests on a horizontal table. It is attached to a light inextensible string which passes over a smooth pulley and carries a mass m at the other end. If the mass m is raised vertically through a distance h and is then dropped, what is the speed with which the mass 2m begins to rise?

A mass m rests on a horizontal table. It is attached to a light inextensible string which passes over a smooth pulley and carries a mass m at the other end. If the mass m is raised vertically through a distance h and is then dropped, what is the speed with which the mass 2m begins to rise?

A unifrom chain of mass M and length L lies on a table with nth part of it hanging off the table. Find the work required to slowly pull the hanging part up to the table.