Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 15 - Oscillations - Problems - Page 440: 67a

Answer

$f = 1.1~Hz$

Work Step by Step

We can find $k$: $kx = mg sin \theta$ $k = \frac{mg sin \theta}{x}$ $k = \frac{(30,000~kg)(9.8~m/s^2) (sin 30^{\circ})}{0.15~m}$ $k = 980,000~N/m$ We can find the oscillation frequency: $f = \frac{1}{2\pi} \sqrt{\frac{k}{m}}$ $f = \frac{1}{2\pi} \sqrt{\frac{980,000 ~N/m}{20,000~kg}}$ $f = 1.1~Hz$
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