A disc is fnst spinned and then placed gentlyon a rough floor with its surface horizontal. Will centre of mass of disc advance in some direction ? Explain.

A semicircle disc of mass M and radius R is held on a rough horizontal surface as shown in figure. The centre of mass C of the disc is at a distance of (4R)/(3pi) from the point O . Now the disc is released from this position so that it starts rolling without slipping. Find (a) The angular acceleration of the disc at the moment it is relased from the given position. (b) The minimum co-efficient of fricition between the disc and ground so that it can roll without slipping.

A disc of mass m and radius r placed on a routh horizontal surface. A cue of mass m hits the disc at a height h from the axis passing through centre and parallel to the surface. The disc will start pure rolling for.

A disc of radius R and mass m is projected on to a horizontal floor with a backward spin such that its centre of mass speed is v_(0) and angular velocity is omega_(0) . What must be the minimum value of omega_(0) so that the disc eventually returns back?

A uniiform disc of radius r spins with angular velocity omega and angular acceleration alpha . If the centre of mass of the disc has linear acceleration a , find the magnitude and direction of aceeleration of the point 1,2 , and 3 .

Consider a disc of mass m and radius R placed on a rough plank of mass M which is turn is place on a smooth horizontal surface. Now plank is pulled by a force F and disc starts to roll on the plank. If there is no friction any where then find (a) Fricition force acting on the disc (b) Angular acceleration of the disc

A circular disc with a groove along its diameter is placed horizontally on a rough surface. A block of mass 1 kg is placed as shown. The co-efficient of friction between the block and all surfaces of groove and horizontal surface in contact is mu=2/5 . The disc has an acceleration of 25m//s^2 towards left. Find the acceleration of the block with respect to disc. Given cos theta=4/5 , sin theta=3/5 .

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 uniform disc of radius R is spinned to the angular velocity omega and then carefully placed on a horizontal surface. How long will the disc be rotating on the surface if the friction coeffiecient is equal to k? The pressure exerted by the disc on the surface can be neglected as uniform.

A uniform disc of mass m and radius R is released gentiy on a horizontal rough surface. Such that centre of the disc has velocity V_(0) towards right and angular velocity omega_(0) (anticlockwise) as shown. Disc will certainly come back to its intial position if