NOTE: The system moves in a horizontal plane.
DISCUSSION
Using the four-step plan:
STEP 1: Free body diagram (FBD) - Draw an FBD of bar AB.
STEP 2: Kinetics - Write down the Newton/Euler equations for the bar based on your FBD above. For the "short form" of the Euler equation, please note that you are constrained to using a moment about the center of mass G since there are no fixed points on AB; that is, you must use ΣMG = IG α.
STEP 3: Kinematics - With the inextensible cable being taut, all points on the rigid body AB have the same acceleration, and the angular acceleration of AB is zero: α = 0.
STEP 4: Solve - Use the equations from STEPS 2 and 3 to solve for the tension in the cable and the reaction at on the bar at A.
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