Explanation Given information: The coefficient of static friction between the rope and the horizontal pipe is ( μ s ) h = 0.25 . The coefficient of static friction between the rope and the vertical pipe is ( μ s ) v = 0.20 Calculation: Show the free-body diagram of the horizontal pipe as in Figure (1). Find the angle the rope wounded around the pipe as follows: β = 1 4 × 2 π = π 2 Find the force P using the equation. P Q = e ( μ s ) h β Substitute 0.25 for ( μ s ) h and π 2 for β . P Q = e 0.25 × π 2 = e π 8 (1) Find the angle the rope wounded around the pipe as follows: β = 1 4 × 2 π = π 2 Find the force S using the equation. S 400 = e ( μ s ) h β Substitute 0.25 for ( μ s ) h and π 2 for β . S 400 = e 0.25 × π 2 = e π 8 (2) Show the free-body diagram of the vertical pipe as in Figure (2). Find the angle the rope wounded around the pipe as follows: β = 1 2 × 2 π = π Find the force Q using the equation

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its enviro…

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Chapter 8.4, Problem 8.107P

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Find the range of values of P for which equilibrium is maintained.

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Chapter 8.4, Problem 8.106P

Chapter 8.4, Problem 8.108P

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Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

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