Frame BCD is rigidly attached to a gear A, which engages a geared track E that is fixed in space. The gear has 30 mm pitch radius, and portions BC and CD of the frame are perpendicular. If the gear has weight W = 6 N and P = 4 N, determine the value of Q needed so that angle θ = 30°, and also determine the reactions (tooth forces) between the gear and track.