Show that the kinetic energy of a rigid body with a fixed point О can be expressed as . wh...

Show that the kinetic energy of a rigid body with a fixed point О can be expressed as . where ω is the instantaneous angular velocity of the bodv andIOL is its moment of inertia about the line of actionOL of ω. Derive this expression(a) from Eqs. (9.46) and (18.19), (b) by considering T as the sum of the kinetic energies of particles Pi; describing circles of radiusρi,about lineOL.