0.8 m wo B D E 0.8 m 1.0 m Bar AB rotates about the fixed point A with constant angular velocity wo. The system starts with bar AB horizontal. 1) Use the relative velocity equation to find the velocity of C in terms of the angles 0 and > and their derivatives. 2) Determine the lengths of bars AB and BC so that as bar AB rotates, the collar C moves back and forth between the positions D and E. A design constraint is that bar BC must be longer than bar AB (as shown in sketch). 3) You are given the design constraint that the magnitude of the acceleration of collar C must not exceed 200 m/s². What is the maximum allowable value of wo? 4) Create the following plots for a complete revolution of bar AB using the values for lengths and angular velocity determined above: о о e and > versus time as 2 sub-plots. Position, velocity, and acceleration of C versus time as 3 sub-plots. Velocity and acceleration of C versus its position as 2 sub-plots. - 5) Use your plotted results to describe the motion of the system – where does it start, which way does it move initially, where do the min and max occur, etc. Solve the problem with a MATLAB LiveScript using the Symbolic Toolbox. Use hand calculations as needed to support your solution. Include your analytical work (hand calculations) in the Live Script, either as an Appendix or in the body of the report. Export your Live Script to a PDF before you submit it to Canvas.