Problem 2. A motor with constant applied torque is modeled as the damped rigid body Jq+cq = fol(t), where J is the load inertia and c is a viscous damping coefficient. Use Laplace transforms to solve this equation and determine the terminal velocity lime-q(t). Compute this limit using the final value theorem and by using the time domain solution. How could you have guessed this limit directly from the equation? (6)