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A monkey of mass m climbs up to a rope h...

A monkey of mass m climbs up to a rope hung over a fixed pulley. The opposite end of the rope is tied to a weight of mass M lying on a horizontal plane. Neglecting the friction, find the acceleration of both the bodies (relative to the plane) and the tension of the rope for the three cases:
(i) The monkey does not move with respect to the rope
(ii) The monkey moves upwards with respect to the rope with acceleration a.
(iii) The monkey moves downwards with respect to the rope, with acceleration a.

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