Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 7 - Impulse and Momentum - Problems - Page 195: 64

Answer

$x_{cm}=+0.105m$ and $y_{cm}=+0.2m$

Work Step by Step

1) On the $+x$ axis: - The torso, neck and head (mass $m_1=41kg$) are located at $x_1=0$ - The upper legs (mass $m_2=17kg$) are located at $x_2=+0.17m$ - The lower legs and feet (mass $m_3=9.9kg$) are located at $x_3=0.17+0.26=+0.43m$ $$x_{cm}=\frac{m_1x_1+m_2x_2+m_3x_3}{m_1+m_2+m_3}=+0.105m$$ 2) On the $+y$ axis: - The torso, neck and head are located at $y_1=+0.39m$ - The upper legs are located at $y_2=0$ - The lower legs and feet are located at $y_3=-0.26m$ $$y_{cm}=\frac{m_1y_1+m_2y_2+m_3y_3}{m_1+m_2+m_3}=+0.2m$$
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