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A l380-kg block of granite is dragged up an incline at a constant speed of 1.34 m/s by a steam winch (Fig. 11-32). The coefficient of kinetic friction between the block and the incline is 0.41. How much power must be supplied by the winch?

A l380-kg block of granite is dragged up an incline at a constant speed of 1.34 m/s by a steam winch (Fig. 11-32). The coefficient of kinetic friction between the block and the incline is 0.41. How much power must be supplied by the winch?

Grade:upto college level

2 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
The below figure shows a 1380-kg block of granite is dragged up an incline at a constant speed of 1.34 m/s by a steam winch.
Figure:

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232-1274_1.JPG
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abcde
21 Points
5 years ago
In this problem  = arctan(28:2=39:4) = 35:5.
The weight of the block has components W|| = mg sintheta  and W = mg costheta. The force of friction
on the block is f =ukN =ukmg costheata . The tension in the rope must then be
T = mg(sintheata  + uk costheata )
in order to move the block up the ramp. The power supplied by the winch will be P = Tv, so
P = (1380 kg)(9.81m/s-2)[sin(35.5) + (0.41) cos(35.5)](1.34m=s) = 1.66104W:

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