Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - 12.4 Exercises - Page 839: 40

Answer

$196.7$ ft-lb

Work Step by Step

$| \tau|=|r \times f|= |r||f|sin \theta$ $|r|=r=\sqrt {4^2+4^2}=4 \sqrt 2$ , $|f|=36 lb$, $\theta=135 ^ \circ-30 ^\circ=105^\circ$ $| \tau|=|r \times f|= |r||f|sin \theta$ $=4 \sqrt2 \cdot 36 \cdot sin (105 ^ \circ)$ $ \tau =196.7$ ft-lb
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