7. A box with cargo of known total mass m₁ can be moved up or down by a rope runningaround a pulley. The other end of the rope is attached to a block of mass m₂. The blockof mass m₂ acts as a counterweight and that can slide on a ramp of known angle 0, asshown. The rope is massless, unstretchable, and slides without friction on the pulley. Thepulley can be assumed to be massless and only changes the direction of the rope.m1M2Өa. If the counterweight can slide without friction on the ramp, how does m₂ have to bechosen so that the cargo moves up or down with constant speed?b. If the coefficient of friction between the ramp and the counterweight is known to be µ,how does m₂ have to be chosen so that the cargo is lifted a height h from rest in a giventime t₁?c. In the situation of (b), what is the tension in the rope?

Answered: 7. A box with cargo of known total mass…

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