The cylinder of previous example is now tilted by an angle `theta` from vertica. Find the flux crossing the cylinder.

A spinning cylinder with angular velocity omega_(0) of mass M and radius R is lowered on a rough inclined plane of angle 30^@ with the horizontal and mu = 1//sqrt(3) . The cylinder is released at a height of 3R from horizontal. Find the total time taken by the cylinder to reach the bottom of the incline.

A spinning cylinder of mass m and radius R is lowered on a rough inclined plane of angle 30^(@) with the horizontal and mu=1sqrt(3) . The cylinder is released at a height of 3R from horizontal. Find the total time taken by the cylinder to reach the bottom of the incline.

A cylinder of radius R and length l is placed in a uniform electric field E parallel to the axis of the cylinder. The total flux over the curved surface of the cylinder is

A cylinder of radius r and length l is placed in an uniform electric field parallel to the axis of the cylinder. The total flux for the surface of the cylinder is given by-

The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.

A closed cylinder is placed in uniform electric field.Find electric flux passing through cylinder.

A hollow tilted cylindrical vessel of negligible mass rest on a horizontal plane as shown. The diameter of the base is a and the side of the cylinder makes an angle theta with the horizontal. Water is then slowly poured into the cylinder. The cylinder topples over when the water reaches a certain height h, given by

A cylinder of radius R and length L is placed in the uniform electric field E parallel to the cylinder axis.The total flux from the two flat surface of the cylinder is given by

A solid cylinder of mass M and radius R rolls from rest down a plane inclined at an angle theta to the horizontal. The velocity of the centre of mass of the cylinder after it has rolled down a distance d is :