A disc of mass 'm' and radius R is free to rotate in horizontal plane about a vetical smooth fixed axis passing through is 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 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 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

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 speed of each ball relative to the ground just after they leave 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 speed of each ball relative to the ground just after they leave the disc is

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.

A thinuniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane withan angular velocity omega .Another disc of same dimensions but of mass M/4 is placed gently onthe first disc co-axially, then the angular velocity of the system is