A small monkey of mass m= 20 kg is climbing up a rope with an acceleration 2 m/*^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.
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~