Explanation Given information : The downward force F 1 is 200 N. The downward force F 2 is 400 N. The downward force F 3 is 200 N. The horizontal force ( F x ) is 600 N. Show the free body diagram as in Figure (1). Use Figure (1), Assumption : Towards right is positive. Determine the resultant of the horizontal force using the equation of equilibrium. F R x = ∑ F x = F x (I) Assumption : Upward is positive. Determine the resultant of the vertical force using the equation of equilibrium. F R y = ∑ F y = − F 1 − F 2 − F 3 (II) Determine the resultant force F R . F R = ( F R x ) 2 + ( F R y ) 2 (III) Determine the direction θ of resultant force. θ = tan − 1 ( F R y F R x ) (IV) Assumption : Clockwise is positive. Determine the line of action of resultant along AB using the principle of moments. ( M B R ) = ∑ M B F R x ( 1.5 − d ) = − ( F 2 ) ( l 1 ) − ( F 3 ) ( l 2 ) (V) Here, the horizontal distance of force F 2 is l 1 and the horizontal distance of force F 3 is l 2 . Show the calculation of the resultant force and the line of action as follows: Conclusion : Substitute 600 N for F x in Equation (I). F R x = 600 N ( → ) Substitute 200 N for F 1 , 400 N for F 2 , and 200 N for F 3 in Equation (II)

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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 4.8, Problem 119P

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The equivalent resultant force, direction of the resultant force, and the line of action of the resultant intersecting the member AB, measured from B.

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Chapter 4.8, Problem 118P

Chapter 4.8, Problem 120P

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The equivalent resultant force, direction of the resultant force, and the line of action of the resultant intersecting the member AB , measured from B .

Solution Summary: The author explains how to determine the equivalent resultant force, direction, and line of action of a vertical force using the equation of equilibrium.

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The equivalent resultant force, direction of the resultant force, and the line of action of the resultant intersecting the member AB, measured from B.

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