Explanation Given information: The magnitude of component force, F 1 = 50 lb . The magnitude of component force, F 2 = 180 lb . The angle between F 2 and x axis is 60 ° . The angle between F 2 and z axis is 60 ° . The angle between F 2 and y axis is 135 ° . Calculation: Show the magnitude of component forces F 1 and F 2 as shown below in Figure 1. Use Figure 1 to calculate the values of sin θ and cos θ . sin θ = 24 25 cos θ = 7 25 Calculate the vector component force F 1 in a Cartesian vector form. F 1 = F 1 cos θ j − F 1 sin θ k Substitute 50 lb for F 1 , 7 25 for cos θ , and 24 25 for sin θ . F 1 = [ ( 50 lb ) 7 25 j ] − [ ( 50 lb ) 24 25 k ] = { 14 j − 48 k } lb Thus, the vector component force F 1 in a Cartesian vector is { 14 i − 48 k } lb _

Statics and Mechanics of Materials (5th Edition)

5th Edition

ISBN: 9780134382593

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 2.6, Problem 53P

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Find the vector component forces F1 and F2 as a Cartesian vectors.

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Chapter 2.6, Problem 52P

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Statics and Mechanics of Materials (5th Edition)

Ch. 2.3 - In each case, construct the parallelogram law to...Ch. 2.3 - In each case, show how to resolve the force F into...Ch. 2.3 - Determine the magnitude of the resultant force...Ch. 2.3 - Determine the magnitude of the resultant force....Ch. 2.3 - Determine the magnitude of the resultant force and...Ch. 2.3 - Resolve the 30-lb force into components along the...Ch. 2.3 - Resolve the force into components acting along...Ch. 2.3 - Prob. 6FP Ch. 2.3 - If = 60 and F = 450 N, determine the magnitude of...Ch. 2.3 - If the magnitude of the resultant force is to be...

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Find the vector component forces F 1 and F 2 as a Cartesian vectors .

Solution Summary: The author calculates the magnitude of component forces F_1 and

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Find the vector component forces F1 and F2 as a Cartesian vectors.

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