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A massless rope is tossed over a wooden dowel of radius r in order to lift a heavy object of weight W off of the floor, as shown in Fig. The coefficient of sliding friction between the rope and the dowel is μ. Show that the minimum down- ward pull on the rope necessary to lift the object is (Hint: This problem required techniques from integral calculus.)

A massless rope is tossed over a wooden dowel of radius r in order to lift a heavy object of weight W off of the floor, as shown in Fig. The coefficient of sliding friction between the rope and the dowel is μ. Show that the minimum down- ward pull on the rope necessary to lift the object is
                                   
(Hint: This problem required techniques from integral calculus.)

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
6 years ago
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Take antilog,
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