The system starts from rest, with the acceleration of the rope, arope =(6t) [m/s]. The rope passes around a pulley with a radius=6 [inches] and doesn't slip. When the rope has been pulled 33 inches in the direction shown, determine the magnitude of the acceleration of point P on the pulley.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.