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A small monkey of mass m= 20 kg is climbing up a rope with an acceleration 2 m/s^2 relative to rope. The rope passes over a fixed pulley and carries a wooden bar of mass M= 5 kg as shown in figure. Find the acceleration of monkey and the bar.
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Hey Dash ,

As monkey moving upwards

So net force T-mg=3mg/2 (1)

Also the block of mass 2m will move upwards as monkey pulls the rope while climbing therefore for block

Net force T-2mg=ma (2)

Substituting the value of T in (2) you get a=g/2.

Regards~

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