2.8 A motor of torque T and moment of inertia J is used to drive an inertial load of moment of inertia J through an ideal (loss free) gear of motor-to-load speed ratio r:1, as shown in Figure P2.8. Obtain an expression for the angular acceleration of the load. Neglect the flexibility of the connecting shaft. Note that the gear inertia may be incorporated into the terms J and JL. T Jm JL Gear r:1 FIGURE P2.8 An inertial load driven by a motor through a gear transmission.