College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 10 - Problems - Page 401: 69

Answer

We can rank the pendulums in order of their frequency of small-amplitude oscillations, from greatest to smallest: $c \gt a = b \gt d = e$

Work Step by Step

We can write an expression for the frequency of a pendulum: $f = \frac{\omega}{2\pi}$ $f = \frac{1}{2\pi}~\sqrt{\frac{g}{L}}$ The frequency does not depend on the mass of the bob, so changing the mass of the bob does not affect the frequency. From the equation, we can see that a longer pendulum length $L$ results in a smaller frequency. We can rank the pendulums in order of their frequency of small-amplitude oscillations, from greatest to smallest: $c \gt a = b \gt d = e$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.