Explanation Procedure used: 1. Add the x -component of the given vectors to obtain R x . 2. Add the y -component of the given vectors to obtain R y . 3. Find the magnitude of the resultant R . Use the equation R = R x 2 + R y 2 . 4. Find the standard-position angle θ for the resultant R . Find the reference angle θ r e f for the resultant R by using the equation θ r e f = tan − 1 | R y | | R x | . Then, use the reference angle and the quadrant of R to determine the standard position angle θ . Calculation: The given set of components is R x = 89.6 , R y = − 52.0 . Sketch the figure of the corresponding vectors as shown below in Figure 1. From Figure 1, it is observed that the resultant vector is represented as R . By the above mentioned procedure, the magnitude of the resultant R is, R = R x 2 + R y 2 = 89.6 2 + ( − 52 ) 2 = 10732

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 9.3, Problem 8E

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The values of R and θ from the set of components Rx=89.6,Ry=−52.0.

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Chapter 9.3, Problem 7E

Chapter 9.3, Problem 9E

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Chapter 9 Solutions

Basic Technical Mathematics

Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E

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The values of R and θ from the set of components R x = 89.6 , R y = − 52.0 .

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The values of R and θ from the set of components Rx=89.6,Ry=−52.0.

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Chapter 9 Solutions