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: 14

Answer

$\approx 17 Nm$

Work Step by Step

$| \tau| =|r \times F|$ Here, $|F|=50 N$ and $|r|=40 cm =0.4 m$ In this question $ \theta =60 ^\circ$ because $F$ makes an angle with $r$ a acute angle. $| \tau| =|r \times F|$ $| \tau| =(0.4) (50) sin 60^\circ$ $| \tau|\approx 17.32 Nm$ or, $\approx 17 Nm$
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