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ighth dition Vector Mechanics for Engineers: Statics Addition of Forces by Summing Components • Wish to find the resultant of 3 or more concurrent forces, R P Q S • Resolve each force into rectangular components Rxi Ry j Px i Py j Qxi Qy j Sxi S y j R x Px Q F x x P Q S i P Q S j x S x x • The scalar components of the resultant are equal to the sum of the corresponding scalar components of the given forces. R x y y Py Q F x y y y S • To find the resultant magnitude and direction, 2 2 1 Ry R Rx Ry tan R y y © 2007 The McGraw-Hill Companies, Inc. All rights reserved. 2 - 16
ighth dition Vector Mechanics for Engineers: Statics Sample Problem 2.3 SOLUTION: • Resolve each force into rectangular components. • Determine the components of the resultant by adding the corresponding force components. Four forces act on bolt A as shown. Determine the resultant of the force on the bolt. • Calculate the magnitude and direction of the resultant. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. 2 - 17
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