[" 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 hemispliere 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 "]

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

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 of mass M rests on a smooth horizontal plane. A sphere of mass m and radius r is placed on the rough upper surface of the plank and the plank is suddenly given a velocity v in the direction of its length. Find the time after which the sphere begins pure rolling, if the coefficient of friction between the plank and the sphere is mu and the plank is sufficiently long.

A man of mass m is standing on a plank of equal mass m resting on a smooth horizontal surface. The man starts moving on the plank with speed u relative to the plank. The speed of the man relative to the ground is