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 - Review - Exercises - Page 859: 14

Answer

$\approx 17.32 \ N \ m$

Work Step by Step

The magnitude of torque is $|\tau|=|r \times F| =|r||F| \sin \theta....(1)$ The angle is acute, so $\theta =60^{\circ}$ Plug in the data. Equation (1) becomes: $|\tau|=|r \times F| =(0.4)\times (50) \times \sin 60^{\circ}$ $\implies |\tau| \approx 17.32 \ N \ m$
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