Consider the guided rigid bar of length / = 0.5 [m] and mass m = 3 [kg]. There are small pins located at the end points A, B to allow the bar to travel on a vertical track at A and a semi-circular track of radius R = 0.3 [m] at B; see FIG below. On the back side of the track plate is a circular disk where point B is pinned on. The disk is set to rotate counterclockwise at a constant rate of o = 0.2 [rad/s] for d E [-25', 90']. Assumed = 1/V2 [m]; i.e., 0 = 45' when o = 0'. (a) Draw the free-body-diagram of the bar AB. (b) Let A = Axl, B = Byi + By), denote the reaction forces at A and B, respectively. Derive the equations of motion for the bar AB. (c) Based on the configuration, write down the relationship between o and 0. (d) Let aA = Kj. Derive the kinematic relationship ag = dA + dB/A in terms of R, p, d, 0, 0, 0, 1. (e) Let aA = KJ. Derive the kinematic relationship ac = ag + ac/B in terms of R, p, d, 0,0, 0, 1. d = 0.2 disk 0.3 m d