Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - Review - Exercises - Page 883: 13

Answer

Upper: $\approx166 N$ and lower: $\approx114 N$

Work Step by Step

$255= Ucos 20^\circ+L cos 30^\circ$ ... (1) $0= Usin 20^\circ-L sin 30^\circ$ Here, U = upper level and L =lower level $U=\frac{L sin 30^\circ}{ sin 20^\circ}$ Equation (1), becomes $255= \frac{L sin 30^\circ}{ sin 20^\circ}cos 20^\circ+L cos 30^\circ$ $L=\frac{255}{\dfrac{sin 30^\circ}{ sin 20^\circ}cos 20^\circ +cos 30^\circ}\approx 113.851 N$ $U=\dfrac{(113.851 N sin 30^\circ}{ sin 20^\circ}\approx 166.439 N$ Hence, Upper: $\approx166 N$ and lower: $\approx114 N$
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