In the figure, the disc D does not slip on the surface S. The pulley P has mass, and the string does not slip on it. The string is wound around the disc.
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(a, b, d)
For a pulley with mass, the strings on its two sides do not have the same tension when in motion.
Also, the rotating pulley has some kinetic energy derived from the loss is potential energy of the block B as it moves down.
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