Explanation Given information : The downward force F 1 is 1,750 lb. The downward force F 2 is 5,500 lb. The downward force F 3 is 3,500 lb. Show the free body diagram as in Figure (1). Use Figure (1). Assumption : Upward is positive. Determine the resultant force using the equation of equilibrium. F R = ∑ F = F 1 + F 2 + F 3 (I) Assumption : Anticlockwise is positive. Determine the distance of the resultant force measured from the point B using the principle of moments. M R B = ∑ M B − F R ( d ) = − F 1 ( x 1 ) − F 2 ( x 2 ) − F 3 ( x 3 ) (II) Here, the distance of force F 1 , F 2 and F 3 is x 1 , x 2 and x 3 . Show the calculation of the resultant force and the location as follows: Conclusion : Substitute –1,750 lb for F 1 , –5,500 lb for F 2 , and –3,500 lb for F 3 in Equation (I)

Engineering Mechanics: Statics & Dynamics (14th Edition)

14th Edition

ISBN: 9780133915426

Author: Russell C. Hibbeler

Publisher: PEARSON

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The resultant force and the location of the resultant force.

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