Consider the system shown in Fig.2. The bars have equal lengths LAB = lBC = 1.5 m. Their respective masses are mAB = 8.3 kg and mBC = 8.0 kg. The mass of the sliding block is mc = 0.4 kg. The spring constant is k = 105N/m, and the spring is unstretched when 0, = 0°. The system is released from rest with the bars vertical (i.e., 0,= 0). Main Deliverables: wAB =? and wBC =? when 0 = 22°. Proceed by answering the following questions in the order they are listed using the reference configuration in Fig.2: 1. Using relative motion analysis with parallel axes between A and B, find the velocity of joint B in unit vector notation (î, j). 2. Using relative motion analysis with parallel axes between B and C, find the velocity of joint B in unit vector notation (i, j). 3. Using the results from the last two questions, (a) what is the relation between wAB and wBC- (b) express Vc = Vc j as a function of wBC- 4. Find an expression of the kinetic energy of the system (Bars AB, BC and Block C), as a function of (wBC) at the specified angle 0. 5. Find the work done by the reaction of the spring between 0, = 0° and the specified angle 0. 6. Find the work done by the weight of member AB between 0, = 0° and the specified angle 0. 7. Find the work done by the weight of member BC between 0, = 0° and the specified angle 0. 8. Find the work done by the weight of Block C between 0, = 0° and the specified angle 0. 9. Using the work energy principle, what is the magnitude of the angular velocity of the bars at the specified angle 0.