rad 1. Consider the schematic model below of a mechanism. A torque, T(t) is applied to the left end. A torsional spring has constant k = 2.3 Nm, and the torsional damping component has a coefficient of b = 9 N-ms. The number of teeth on gear 1 is N = 80 and the number of teeth on gear 2 is N 3 kg m and gear 2 has inertia J = 0.5 kg m. Derive the set of ordinary differential equations that fully describe the rotational motion of this system. Verify that you have enough equations to solve the system. rad 35. Gear 1 has inertia J = 0 T(t) k Gear 2 0 N N Gear 1 03 b