Essential University Physics: Volume 1 (3rd Edition)

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

Chapter 9 - Exercises and Problems: 17

Answer

$(0, \frac{L \sqrt3}{6})$

Work Step by Step

We construct a coordinate system where the origin is located at the center of the base of the triangle. Finding the x center of mass is simple: since the object is symmetric, we can conclude that the center of mass must be at x=0. Next, we must find the y center of mass. $ y_{cm} = \frac{my_1+my_2+my_3}{m+m+m}$ $ y_{cm} = \frac{m(0)+m(0)+m \frac{L \sqrt3}{2}}{m+m+m}$ $y_{cm}=\frac{L \sqrt3}{6}$
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