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A ring of radius R is first rotated with an angular velocity ω and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is μ. Time after which its angular speed is reduced to half is A Disc of mass m and radius R moves in [...]

In the arrangement shown in Fig. 6.290, pulleys D and E are small and frictionless. They do not rotate but threads slip over them without friction and their masses being 4 kg and 11.25 kg In the arrangement shown in Fig. 6.290 pulleys D and E are small and frictionless. They do not rotate but [...]

The upper surface of block C is horizontal and its right part is inclined to the horizontal at angle 37. The mass of blocks A and B are m1 = 1.4 kg and m2 = 5.5 kg, respectively. respectively The upper surface of block C is horizontal and its right part is inclined to the [...]

A uniform solid sphere of radius `r` is rolling on a smooth horizontal surface with velocity `V` and angular velocity `omega=(V=omegar)`. The sphere collides with a sharp edge on the wall as shown in Fig. The coefficient of friction between the sphere and the edge `mu = 1//5`. Just after the collision the angular velocity [...]

A smooth pulley A of mass M0 is lying on a frictionless table. A massless rope passes round the pulley and has masses M1 and M2 tied to its ends, the two portions of the string being A smooth pulley A of mass M0 is lying on a frictionless table. A massless rope passes round [...]

A block of mass m is attached to a pulley disc of equal mass m and radius r by means of a slack string as shown. The pulley is hinged about its centre on a horizontal table and the block is projected with an initial velocity of 5 m/s. Its velocity when the string becomes [...]

A particle A of mass 2m is held on a smooth horizontal table and is attached to one end of an inelastic string which runs over a smooth light pulley at the edge of the table. At the other end of the A particle A of mass 2m is held on a smooth horizontal table [...]

A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate about its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system? [...]

A monkey A (mass = 5 kg) is climbing up a rope tied to a rigid support. The monkey B (mass = 2 kg) is holding on a tail of monkey A. If the tail can tolerate a maximum tension of 30 N A monkey A (mass = 5 kg) is climbing up a rope [...]

A smooth ring A of mass m can slide on a fixed horizontal rod XY. A string tied to the ring passes over a fixed pulley B and carries a block C of mass M ( = 2 m) as shown in Fig. 6.286. A smooth ring A of mass m can slide on a [...]