Using the method of dimensions , derive an expressions for the energy of a body executing SHM , assuming this energy depends upon its mass m , frequency v and amplitude of vibration r .

Write an expression for the kinetic energy of a body of mass m moving with a velocity v.

Show that the total energy of a body executing S.H.M. is constant.

Derive an expression for the kinetic energy of a body rotating with constant angular velocity. State how it depends on the moment of inertia, and frequency and period of rotation.

Energy of particle executing SHM depends upon

Obtain an expression for the kinetic energy of a particle performing linear SHM. State how it depends upon the amplitude, frequency and period of SHM.

The total energy of the body executing SHM is E. the, the kinetic energy when the displacement is half of the amplitude is

By the method of dimensions, obtain an expression for the surface tension S of a liquidk rising in a capillary tube. Assume that S depends on mass m of liquied, Pressure p of liquid and radius r of the capillary tube. Take K = 1//2 .

Define the term work and derive its SI unit. Write an expression for the kinetic energy of a body of mass m moving with a uniform speed v.

The total energy of the body excuting S.H.M. is E . Then the kinetic energy when the displacement is half of the amplitude, is