8-9 Friction - Chapter 8 | Hibbeler Statics 14th ed | Engineers Academy

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Engineering Statics by Hibbeler 14th Edition
Chapter 8: Friction

8–9. The pipe of weight W is to be pulled up the inclined plane of slope a using a force P. If P acts at an angle f, show that for slipping P = W sin(a + u)/cos(f - u), where u is the angle of static friction; u = tan-1 ms.

8–10. Determine the angle f at which the applied force P should act on the pipe so that the magnitude of P is as small as possible for pulling the pipe up the incline. What is the corresponding value of P? The pipe weighs W and the slope a is known. Express the answer in terms of the angle of
kinetic friction, u = tan-1 mk.

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