At a given instant the body of mass m has an angular velocity and its mass center has a velocity v G Show that its kinetic energy can be represented as T 1 2I IC 2 , where I IC is the moment of inertia of the body determined about the instantaneous axis of zero velocity, located a distance r G IC f...

At a given instant the body of mass m has an angular velocity and its mass

Question:

At a given instant the body of mass m has an angular velocity ω and its mass center has a velocity v_G. Show that its kinetic energy can be represented as T = 1/2I_ICω², where I_IC is the moment of inertia of the body determined about the instantaneous axis of zero velocity, located a distance r_G/_IC from the mass center as shown.