Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 11 - Exercises and Problems - Page 202: 58


a) $v = \Delta x \sqrt{\frac{k}{m}}$' b) $\omega = \frac{m\Delta x \sqrt{\frac{k}{m}}b}{I}$

Work Step by Step

a) We know energy is conserved, so: $\frac{1}{2}k\Delta x^2 = \frac{1}{2}mv^2 \\ v = \Delta x \sqrt{\frac{k}{m}}$ b) We know angular momentum is conserved, so: $mvb=I\omega$ $m\Delta x \sqrt{\frac{k}{m}}b=I\omega$ $\omega = \frac{m\Delta x \sqrt{\frac{k}{m}}b}{I}$
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