A disc of mass M and radius R is kept flat on a smooth horizontal table. An insect of mass m alights on the periphery of the disc and begins to crawl along the edge.
(a) Describe the path of the centre of the disc.
For what value of `(m)/(M)` the centre of the disc and the insect will follow the same path ?

A disc of mass m and radius R lies flat on a smooth horizontal table. A particle of mass m, moving horizontally along the table, strikes the disc with velocity V while moving along a line at a distance (R)/(2) from the centre. Find the angular velocity acquired by the disc if the particle comes to rest after the impact.

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 mass m and radius R is kept on a smooth horizontal surface with its plane parallel to the surface. A particle of same mass m travelling with speed v_(0) collides with the stationery disc and gets embedded into it as shown in the figure. Then

A disc of mass m and radius R is kept on a smooth horizontal surface with its plane parallel to the surface. A particle of same mass m travelling with speed v_(0) collides with the stationery disc and gets embedded into it as shown in the figure. Then

A disc of mass 3 kg and radius 0.5 m is placed on a horizontal frictionless table. With the help of a cue we gives a horizontal impulse of 15 Ns to the disc at topmost point then velocity of centre of mass will be

A uniform disc of mass 'm' and radius R is placed on a smooth horizontal floor such that the plane surface of the disc in contact with the floor . A man of mass m//2 stands on the disc at its periphery . The man starts walking along the periphery of the disc. The size of the man is negligible as compared to the size of the disc. Then the center of disc.

A uniform disc of mass 'm' and radius R is placed on a smooth horizontal floor such that the plane surface of the disc in contact with the floor . A man of mass m//2 stands on the disc at its periphery . The man starts walking along the periphery of the disc. The size of the man is negligible as compared to the size of the disc. Then the center of disc.

A disc of mass m and radius R is placed over a plank of same mass m. There is sufficient friction between disc and plank to prevent slipping. A force F is applied at the centre of the disc. Acceleration of the plank is