Essential University Physics: Volume 1 (3rd Edition)

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

Chapter 13 - Exercises and Problems - Page 239: 52


$5\times10^{-3} \ kg$

Work Step by Step

We simplify the equation for the period to obtain: $$T = \frac{2\pi}{\sqrt{\frac{(m+M)gl}{I}}}\\ T = \frac{2\pi}{\sqrt{\frac{(m+M)g\frac{mr}{m+M}}{(m+M)r^2}}}\\ T = \frac{2\pi}{\sqrt{\frac{gm}{(m+M)r}}}\\ 12 = \frac{2\pi}{\sqrt{\frac{(9.81)m}{(m+.6)(.3)}}} \\ m = 5\times10^{-3} \ kg$$
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