Explanation Given information : The load F is 150 lb. Show the free body diagram of the telephone pole as in Figure (1). Use Figure (1). Assumption : Counterclockwise is positive. Take moment about y direction using the Equation of equilibrium. ∑ M y = 0 F ( a ) − P ( b ) = 0 (I) Here, the vertical distance of F about y direction is a and the vertical distance of P about y direction is b . Assumption : Towards right is positive. Apply the Equation of equilibrium in the y axis. ∑ F y = 0 A y = 0 (II) Assumption : Counterclockwise is positive. Take moment about x direction using the Equation of equilibrium. ∑ M x = 0 − F ( c ) + B z ( d ) = 0 (III) Here, the horizontal distance of F about x direction is c and the horizontal distance of B z about x direction is d . Assumption : Upward is positive. Apply the Equation of equilibrium in the z direction. ∑ F z = 0 A z + B z − F = 0 (IV) Assumption : Counterclockwise is positive. Take moment about z direction using the Equation of equilibrium. ∑ M z = 0 B x ( e ) − P ( f ) = 0 (V) Here, the distance of B x about z direction is e and the distance of P about z direction is f . Assumption : Downward is positive. Apply the Equation of equilibrium in the x direction. ∑ F x = 0 A x − B x + P = 0 (VI) Conclusion : Substitute 150 lb for F , 0.5 ft for a , and 1.0 ft for b in Equation (I). 150 ( 0.5 ) − P ( 1.0 ) = 0 P = 75 lb Thus, the horizontal force P needed to hold the handle in the given position is 75 lb _

13th Edition

ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 5.7, Problem 69P

To determine

The horizontal force P needed to hold the handle in the given position and the components of reaction of the ball-and-socket joint A and the smooth journal bearing B.

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Chapter 5.7, Problem 68P

Chapter 5.7, Problem 70P

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Chapter 5 Solutions

Engineering Mechanics: Statics

Ch. 5.2 - Prob. 1P Ch. 5.2 - Prob. 2P Ch. 5.2 - Prob. 3P Ch. 5.2 - Prob. 4P Ch. 5.2 - Prob. 5P Ch. 5.2 - Prob. 6P Ch. 5.2 - Prob. 7P Ch. 5.2 - Prob. 8P Ch. 5.2 - Prob. 9P Ch. 5.4 - Determine the horizontal and vertical components...

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The horizontal force P needed to hold the handle in the given position and the components of reaction of the ball-and-socket joint A and the smooth journal bearing B .

The horizontal force P needed to hold the handle in the given position and the components of reaction of the ball-and-socket joint A and the smooth journal bearing B.

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Chapter 5 Solutions