Derive an expression per the M.I. of a rectangular rod about an axis passing through its centre of mass and perpendicular to its length.

Derive an expression for the MI. of a disc, (i) about an axis passing through its centre and perpendicular to its plane. (ii) about its diameter.

The mass of a unifprm rod is 0.4 kg and its length is 2 m. .Calculate the radius of gyration of the rod about an axis passing through its centre of mass and perpendicular to its length ?

Radius of gyration of a uniform circular disc about an axis passing through its centre of gravity and perpendicular to its plane is

The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane

The moment of inertia of a uniform semicircular wire of mass m and radius r, about an axis passing through its centre of mass and perpendicular to its plane is mr^(2)(-(k)/(pi^(2))) . Find the value of k.

Three rods each of mass m and length l are joined together to form an equilateral triangle as shown in figure. Find the moment of inertial of the system about an axis passing through its centre of mass and perpendicular to the plane of the particle.

A thin uniform rod 0.75 m long and having a mass 1.5 kg rotates 7 times per second about an axis passing through its centre of gravity and perpendicular to its length. Find its kinetic energy ?

Two thin uniform rods A ( M.L ) and B ( 3M,3L ) are joined as shown. Find the M.I. about an axis passing through the center of mass of system of rods and perpendicular to the length.

Three rods each of mass m and length l are joined together to form an equilateral triangle as shown in figure. Find the moment of inertial of the system about an axis passig through its centre of mass and perpendicular to the plane of the particle.

A square of a side a is cut from a square of side 2a as shown in the figure. Mass of this square with a hole is M. Then its moment of inertia about an axis passing through its centre of mass and perpendicular to its plane will be