A circular cylinder has an inextensible string wrapped around it as shown in the figure.
What is the linear acceleration of the cylinder when released?

A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ? What is the linear acceleration of the rope ? Assume that there is no slipping.

A right circular cylindr has base radius 8 cm and height 35 cm .Find the curved surface area of the cylinder.

A circular branching made from a uniform conductor is connected to a battery as shown in the figure. What force will the magnetic field of the currents in the branching exert on the agnetic pole placed at its centre O? Deduce the resutl qualtatively.

An ideal inductor of 1 H is connected across a resistance of 100 ohm as shown in the figure. What is the potential difference across the 100 ohm resistance, when the current has attained a steady value?

A cylindrical bar magnet is kept along the axis of a circular coil and near it as shown in the figure. Will there by an y iduced e.m.f. at the terminal of the coil, when the magnet is rotated about an axis perpendicular to the length of the magnet?

A circular cylinder has radius 3 mm and height 80 cm. Find the lateral surface area of the cylinder.

A bob of mass m suspended by a light string of length L is whirled into a vertical circle as shown in the figure. What will be the trajectory of the particle if the string is cut at Point B?

A bob of mass m suspended by a light string of length L is whirled into a vertical circle as shown in the figure. What will be the trajectory of the particle if the string is cut at Point X?

A solid right circular cylinder has its radius equal to half of its height. Find the rate of change of its total surface area w.r.t. a change in the radius r.