A disc having uniform surface charge density in upper part `+rho` and `-rho` in lower half placed on rough horizontal surface as shown in figure. A uniform electric field is set up as shown if mass of disc is M and its radius is R as well sufficient friction is present to prevent slipping. The acceleration of disc is

A uniform disc of mass m is attached to a spring of spring constant k as shown in figure and there is sufficient friction to prevent slipping of disc. Time period of small oscillations of disc is:

A uniform disc of mass m is attached to a spring of spring constant k as shown in figure and there is sufficient friction to prevent slipping of disc. Time period of small oscillations of disc is:

A force F is applied at the top of a ring of mass M and radius R placed on a rough horizontal surface as shown in figure. Friction is sufficient to prevent slipping. The friction force acting on the ring is:

A force F is applied at the top of a ring of mass M and radius R placed on a rough horizontal surface as shown in figure. Friction is sufficient to prevent slipping. The friction force acting on the ring is:

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.

Two forces of magnitude F are acting on a uniform disc kept on a horizontal rough surface as shown in the figure. Friction force by the horizontal surface on the disc is nF . Find the value of n .

Two forces of magnitude F are acting on a uniform disc kept on a horizontal rough surface as shown in the figure. Friction force by the horizontal surface on the disc is nF . Find the value of n .

A small disc of mass m is released at height h ,on a circular track of radius R, whose part AB has sufficient friction to prevent slipping ,while BC smooth. The maximum height attained by disc on BC is

A non - conducting disc of radius R is uniformly charged with surface charge density sigma . A disc of radius (R )/(2) is cut from the disc, as shown in the figure. The electric potential at centre C of large disc will be