Looking at your FBD above, which forces, if any, do work that is not a part of the potential energy of the system? If there are none, then energy is conserved. Write down the individual contributions ...
Step 1 - FBD: Draw individual FBDs of the bar and the block. Step 2 - Kinetics: Using your FBDs above, write down the Newton/Euler equations for the block and the bar. Be careful with your moment ...
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