P Figure 1: Diagram for Question 7.4 Question 7.4 (25 minutes) A drawbridge of length L = 40 m is raised by a cable attached to a rotating wheel of radius r = 2 m. See Figure 1. Suppose that the wheel is rotating at a constant rate 3 revolutions per minute and at t = 0, the bridge was at the horizontal position. a) Find the rate at which 0, the angle between the bridge's position at time t and its vertical position, is changing when 0 = 7/6. b) Find the vertical velocity of the moving edge of the bridge (i.e. where the cable is attached) when it is 10 m above the ground