A long cylinder of radius `R_1` is displaced along its axis with a constant velocity `v_0` inside a stationary co-axial cylinder of radius `R_2`. The space between the cylinders is filled with viscous liquid. Find the velocity of the liquid as a function of the distance r from the axis of the cylinders. The flow is laminar.

A long cylinder of uniform cross section and radius R is carrying a current i along its length and current density is uniform cross section and radius r in the cylinder parallel to its length. The axis of the cylinderical cavity is separated by a distance d from the axis of the cylinder. Find the magnetic field at the axis of cylinder.

A long cylinder of uniform cross section and radius R is carrying a current i along its length and current density is uniform cross section and radius r in the cylinder parallel to its length. The axis of the cylinderical cavity is separated by a distance d from the axis of the cylinder. Find the magnetic field at the axis of cylinder.

A cylinder of mass M, radius r_(1) and lenglth l is kept inside another cylinder of radius r_(2) and length l. The space between them is filled with a liquid of viscosity eta . The inner cylinder starts rotating with angular velocity omega while the other cylinder is at rest. Find time when inner cylinder stops.

Moment of inertia of a hollow cylinder of mass M and radius R , about the axis of cylinder is

A cylinder of radius R and height H is foam unknown height h . When is rotated at an unknown constant angular velocity omega , the base of the cylinder gets exposed when the liquid just starts spilling out, as shown in Fig. a. Find the height h of the liquid. b. Find the angular speed w of the cylinder.

A cylinder of radius R and height H is foam unknown height h . When is rotated at an unknown constant angular velocity omega , the base of the cylinder gets exposed when the liquid just starts spilling out, as shown in Fig. a. Find the height h of the liquid. b. Find the angular speed w of the cylinder.

A right circular cylinder is inscribed in a sphere of radius r. Express the volume v of the cylinder as a function of its height x.

A long light thread is wond partly around cylinder of radius r and mass m partly on a simialr cylinder but free to turn about a fixed axis. The movable one is allowed to fall from rest. Find the velocity of the cylinder as a functiono of the height h through which it has fallen. Does the cylinder fall without slipping?

A current of I ampere flows along an infinitely long straight thin walled hollow metallic cylinder of radius r. The magnetic field at any point inside the cylinder at a distance x from the axis of the cylinder is

A current I flows along a thin-walled, long, half-cylinder of radius R(figure) Find the magnetic induction at a point on the axis of the cylinder