In order to raise a mass m a man ties it to a rope and passes the rope over a frictionless pulley. He climbs the rope with an acceleration $$3g/2$$ relative to the rope. If the mass of the man is $$m/2$$ and the mass of the rope is negligible, the tension in the rope is

Question

Infinity Learn · Accepted Answer

given $$amR=$$ $$am-aR=$$ $$3g2$$; am $$=3g2-$$  aR as man and rope moving in oppsote direction  equation for the  man $$T-mg2=m2$$ $$am=m23g2-$$  aR  ;   $$T=5mg4-12maR----1$$ equation for the mass $$T-mg=maR----2$$ solving for T we get $$T=7mg6$$

In order to raise a mass m a man ties it to a rope and passes the rope over a frictionless pulley. He climbs the rope with an acceleration 3g/2 relative to the rope. If the mass of the man is m/2 and the mass of the rope is negligible, the tension in the rope is

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