Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 11 - Oscillations and Waves - Problems: 2

Answer

1.4 Hz.

Work Step by Step

Find the spring constant by dividing the magnitude of applied force by the displacement. $$k=\frac{F}{x}=\frac{mg}{x}=\frac{(66kg)(9.80m/s^2)}{0.005 m}=1.2936 \times 10^5 N/m$$ Find the oscillation frequency from k and the total mass. $$f=\frac{1}{2 \pi}\sqrt{\frac{k}{m}}=\frac{1}{2 \pi}\sqrt{\frac{1.2936 \times 10^5 N/m }{1766kg}}\approx 1.4Hz$$
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