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 15 - Oscillations - Exercises and Problems: 51

Answer

(a) $k = 47,000~N/m$ (b) $f = 1.8~Hz$

Work Step by Step

(a) Let's assume that the mass on each spring is 300 kg. We can find the spring constant for each spring. $f = \frac{1}{2\pi}~\sqrt{\frac{k}{m}}$ $k = f^2~(2\pi)^2~m$ $k = (2.0~Hz)^2~(2\pi)^2~(300~kg)$ $k = 47,000~N/m$ (b) Let's assume that the mass on each spring is 370 kg. We can find the oscillation frequency. $f = \frac{1}{2\pi}~\sqrt{\frac{k}{m}}$ $f = \frac{1}{2\pi}~\sqrt{\frac{47,000~N/m}{370~kg}}$ $f = 1.8~Hz$
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