The figure represent two cases. In first case a block of mass `M` is attached to a string which is tightly wound on a disc of mass `M` and radius `R`. In second case `F=Mg` initially the disc is stationary in each case. if the same length of string is unwound from the disc, then

A block of mass m is attached to one end of a light string which is wrapped on a disc of mass 2m and radius R. The total length of the slack portion of the string is 1. The block is released from rest. The angular velocity of the disc just after the string becomes taut is

A block of mass m is attached to one end of a light string which is wrapped on a disc of mass 2m and radius R. The total length of the slack portion of the string is l . The block is released from rest. The angular velocity of the disc just after the string becomes taut is

A block of mass m is attached at the end of an inextensible string which is wound over a rough pulley of mass M and radius R figure a. Assume the string does not slide over the pulley. Find the acceleration of the block when released.

A disc of mass M and radius R moves in the x-y plane as shown in the figure. The angular momentum of the disc at the instant shown is –

In the figure A and B are two blocks of mass 4 kg and 2 kg respectively attached to the two ends of light string passing overa disc C of mass 40 kg and radius 0.1 m . The disc is free to rotate about a fixed horizontal the string does not string does not slip over the disc. Find. (i) The linear acceleration of mass B . (ii) the number of revolutions made by the disc at the end of 10 sec . from the start. (iii) the tension in teh string segment supporting the block A . .

A uniform disc of mass M and radius R is liffted using a string as shown in the figure. Then choose incorrect option(s),

A uniform disc of mass M and radius R is liffted using a string as shown in the figure. Then choose incorrect option(s),

A string is hanged to strong support O as shown in figure. It is wrapped to a disc of mass m and radius R at its other end. This string is weightless and unstretchable then find the linear acceleration of centre of mass of disc.

One end of a metal rod of length L and mass M is pivoted to a fixed support and to its free end, a thin disc of mass m and radius r (L) is attached at its centre. In one case, the disc is attached to the rod in such a way that it is not free to rotate about its centre and in another case, teh disc is free to rotate about its centre. When the rod-disc system is displaced slightly from its equilibrium position and released. it peforms S.H.M. in vertical plane. Compare the restoring torque acting on the system and angular frequency in both the cases.