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: Initially, the skier moved 65 m to the south and then turned 40 ° east of south and then again moved 35 m. Sketch the figure of the corresponding vectors as shown below in Figure 1. From Figure 1, it is observed that the skier’s displacement from the starting point should be obtained. Then, the x component of the resultant vector D is, D x = d sin θ D = 35 sin 40 ° = 22.5 m Similarly, the y component of the resultant vector D is, D y = − 65 − 35 cos 40 ° = − 65 − 26.81 = − 91.81 m By the above mentioned procedure, the magnitude of the resultant D is, D = D x 2 + D y 2 = ( 22

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 9, Problem 65RE

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The skier’s displacement from the starting point.

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Chapter 9, Problem 64RE

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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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