Show that the kinetic energy of a rigid body with a fixed point O can be expressed as T - 1/2 IOLω2 where ω is the instantaneous angular velocity of the body and IOL is its moment of inertia about the line of action OL 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 radius ρi about line OL.

Transcribed Image Text:

y TA L 1² Pi COPI X