Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 12 - Rotation of a Rigid Body - Exercises and Problems - Page 332: 38

Answer

(a) $A\times B = 21$ (into the page) (b) $C\times D = 24$ (out of the page)

Work Step by Step

We can use the right-hand rule to determine if the cross-product is into the page or out of the page. (a) $A\times B = A~B~sin(\theta)$ $A\times B = (6)(5)~sin(45^{\circ})$ $A\times B = 21$ (into the page) (b) $C\times D = C~D~sin(\theta)$ $C\times D = (6)(4)~sin(90^{\circ})$ $C\times D = 24$ (out of the page)
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