A sphere of mass `m` and radius `r` is placed on a rough plank of mass `M`. The system is placed on a smooth horizontal surface. A constant force `F` is applied on the plank such that the sphere rolls purely on the plank. Find the acceleration of the sphere.

Consider the system shown. A solide sphere (of mass m and radius R) is placed over a plak (of mass 2m and placed over a smooth horizontal surface.) A horizontal force F is applied at the top of the sphere, as shown. Consider that the friction between the sphere and plank is sufficient enough for no slipping of the sphere over then plank. Friction force acting between the sphere and the plank is

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

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 plank of mass m_1 with a uniform sphere of mass m_2 placed on it rests on a smooth horizontal plane. A constant horizontal force F is applied to the plank. With what acceleration will the plank and the centre of the sphere move provided there is no sliding between the plank and the sphere?

A solid sphere of mass ma nd radis R is placed on a rough horizontal surface A horizontal force F is applied to sphere at a height h, (0lehleR) from centre. If sphere rolls slipping then,

A solid sphere of mass ma nd radis R is placed on a rough horizontal surface A horizontal force F is applied to sphere at a height h, (0lehleR) from centre. If sphere rolls slipping then,

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. A Horizontal force F is applied on the plank. What is the maximum value of F , if mu is coefficient of friction between sphere movment and plank and there is no slipping ?

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. A Horizontal force F is applied on the plank. What is the maximum value of F , if mu is coefficient of friction between sphere movment and plank and there is no slipping ?

A plank of mass M is moving on a smooth horizontal surface with speed 'v_(0)' . At t=0 a sphere of mass 'm' and radius 'r' is gently placed on it and simultaneously a constant horizontal force 'F' is applied on the plank in the opposite direction of v_(0) . Find the time at which sphere starts rolling on the plank. The coefficient of friction between the plank and the sphere is mu .