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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 should use ΣM_G = I_G 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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