Lower surface of a plank is rough and lying at rest on a rough horizontal surface. Upper surface of the plank is smooth and has a smooth hemisphere placed over it through a light string as shown in the figure. After the string is burnt, trajectory of `C.M`, of the sphere is

A solid sphere rolling on a rough horizontal surface. Acceleration of contact point is zero. A solid sphere can roll on the smooth surface.

A solid sphere rolling on a rough horizontal surface. Acceleration of contact point is zero. A solid sphere can roll on the smooth surface.

Two masses m_1 and m_2 are placed on a smooth horizontal surface and are connected by a string of negligible mass. A horizontal force F is applied on the mass m_2 as shown in the figure. The tension in the string is

Two masses m_(1) and m_(2) are placed on a smooth horizontal surface and are connected by a string of negligible mass. A horizontal force F is applied on the mass m_(2) as shown in the figure. The tenison in the string is

A plank with a uniform sphere placed on it rests on a smooth horizontal plane. The plank is pulled to the right by a constant force F . It the sphere does not slip over the plank, then

A plank with a uniform sphere placed on it rests on a smooth horizontal plane. The plank is pulled to the right by a constant force F . It the sphere does not slip over the plank, then

A block of mass M is placed on a rough horizontal surface. It is connected by means of a light inextensible string passing over a smooth pulley . The other end of string passing over a smooth pulley. The other end of string is connected to a block of mass m. There is no friction between vertical surface and block m If the whole system ( horizontal surface + blocks ) accelerates towards right the value of maximum on the horizontal surface is

A block of mass M is placed on a rough horizontal surface. It is connected by means of a light inextensible string passing over a smooth pulley . The other end of string passing over a smooth pulley. The other end of string is connected to a block of mass m. There is no friction between vertical surface and block m If the whole system ( horizontal surface + blocks ) accelerates towards right the value of maximum on the horizontal surface is