Drive an expression for the kinetic energy of a rigid body, rotating with a uniform angular velocity ______ and hence define moment of inertia

Find an expression for the total kinetic energy of a rolling body.

What is the expression for kinetic energy of a body of mass 'm' moving with velocity 'v'.

What is the relation between kinetic energy and moment of inerita for a rotational body?

Define Kinetic energy of a body.Derived an expression for the K.E of a body in a motion.

A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad s-^1. The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

There exists a non uniform magnetci fiedl in free space. A charged particle of mass m and velocity v enters the field and comes out after a certain time. Comment with reason about the Kinetic energy of the particle after coming out of the field.

Establish a relation between angular momentum, moment of inertia and angular velocity.

Give the dimensional formula for surface energy, moment of inertia, angular- velocity and gravitational force.