Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 8 - Further Applications of Integration - 8.3 Applications to Physics and Engineering - 8.3 Exercises - Page 606: 21

Answer

$M_y=330$ $M_x=0$ The center of mass is: $(22,0)$

Work Step by Step

$$M_y=m_1\cdot x_1+m_{2}\cdot x_2$$ $$M_y=6\cdot 10+9\cdot 30=330$$ $$M_x=m_1\cdot y_1+m_{2}\cdot y_2=6\cdot 0+9\cdot 0=0$$ $\overline{x}=\frac{M_y}{m_1+m_2}=\frac{330}{6+9}=\frac{330}{15}=22$ $\overline{y}=\frac{M_x}{m_1+m_2}=\frac{0}{6+9}=0$ so the center of mass is: $$(22,0)$$
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