A thin horizontal disc of radius R=10cm is located with in a cylindrical cavity filled with oil whose viscosity `eta=0.08`P (figure) The distance between the disc and the horizontal planes of the cavity is equal to `h=1.0` mm find the power developed by the viscous forces acting ont he disc when it rotates with the angular velocity `omega=60rad//s`. The end effect are to be neglected.

A disc of mass m and radius R is free to rotate in a horizontal plane about a vertical smooth fixed axis passing through its centre. There is a smooth groove along the diameter of the disc and two small balls of mass m//2 each are placed in it on either side of the centre of the disc as shown in Fig. The disc is given an initial angular velocity omega_(0) and released. The angular speed of the disc when the balls reach the end of the disc is

A disc of mass m and radius R is free to rotate in a horizontal plane about a vertical smooth fixed axis passing through its centre. There is a smooth groove along the diameter of the disc and two small balls of mass m//2 each are placed in it on either side of the centre of the disc as shown in Fig. The disc is given an initial angular velocity omega_(0) and released. The angular speed of the disc when the balls reach the end of the disc is

A disc of mass m and radius R is free to rotate in a horizontal plane about a vertical smooth fixed axis passing through its centre. There is a smooth groove along the diameter of the disc and two small balls of mass m//2 each are placed in it on either side of the centre of the disc as shown in Fig. The disc is given an initial angular velocity omega_(0) and released. The net work done by forces exerted by the disc on the ball for the duration ball remains on the disc is

shows a conducting disc rotating about its axis in a perpendicular magnetic field B. A resistor of resistance R is connected between the centre and the rim. Calculate the current in the resistor. Does it enter the disc or leave it at the centre? The radius of hte disc is 5.0 cm , angular speed omega = 10 rad/s, B = 0.40 T and R = 10 Omega .

A horizontally oriented uniform disc of mass M and radius R rotates freely about a stationary vertical axis passing through its centre. The disc has a radial guide along which can slide without friction a small body of mass m . A light thread running down through the hollow axle of the disc is tied to the body initially the body was located at the edge of the disc and the whole system rotated with ann angular velocity omega_(0) . Then by means of a force F applied to the lower and of the thread the body was slowly pulled to the rotation axis. find: (a). The angular velocity of the system in its final state. (b). The work performed by the force F.

A horizontally oriented uniform disc of mass M and radius R rotates freely about a stationary vertical axis passing through its centre. The disc has a radial guide along which can slide without friction a small body of mass m . A light thread running down through the hollow axle of the disc is tied to the body initially the body was located at the edge of the disc and the whole system rotated with ann angular velocity omega_(0) . Then by means of a force F applied to the lower and of the thread the body was slowly pulled to the rotation axis. find: (a). The angular velocity of the system in its final state. (b). The work performed by the force F.

A disc shaped body (having a hole shown in the figure) of mass m=10kg and radius R=10/9m is performing pure rolling motion on a rough horizontal surface. In the figure point O is geometrical center of the disc and at this instant the centre of mass C of the disc is at same horizontal level with O . The radius of gyration of the disc about an axis pasing through C and perpendicular to the plane of the disc is R/2 and at the insant shown the angular velocity of the disc is omega=sqrt(g/R) rad/sec in clockwise sence. g is gravitation acceleration =10m//s^(2) . Find angular acceleation alpha ( in rad//s^(2) ) of the disc at this instant.

A disc shaped body (having a hole shown in the figure) of mass m=10kg and radius R=10/9m is performing pure rolling motion on a rough horizontal surface. In the figure point O is geometrical center of the disc and at this instant the centre of mass C of the disc is at same horizontal level with O . The radius of gyration of the disc about an axis pasing through C and perpendicular to the plane of the disc is R/2 and at the insant shown the angular velocity of the disc is omega=sqrt(g/R) rad/sec in clockwise sence. g is gravitation acceleration =10m//s^(2) . Find angular acceleation alpha ( in rad//s^(2) ) of the disc at this instant.

A disc of mass 4 kg and radius 6 metre is free to rotate in horizontal plane about a vertical fixed axis passing through its centre. There is a smooth groove along the diameter of the disc and two small blocks of masses 2 kg each are placed in it on either side of the centre of the disc as shown in figure. The disc is given initial angular velocity omega_(0) =12 rad/sec and released. Find the angular speed of disc (in radian/sec) when the blocks reach the ends of the disc.