The masses m, are located at the points P₁. Find the moments Mx and My and the center of mass of the system. m₁ = 6₁ m₂ = 5, m3 = 4, m4 = 7; P₁(6, 4), P₂(3, -1), P3(-2, 2), P4(-2,-5) Mx My (x, y) = = =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The masses \( m_i \) are located at the points \( P_i \). Find the moments \( M_x \) and \( M_y \) and the center of mass of the system.

\[
\begin{align*}
m_1 &= 6, \quad m_2 = 5, \quad m_3 = 4, \quad m_4 = 7; \\
P_1 &= (6, 4), \quad P_2 = (3, -1), \quad P_3 = (-2, 2), \quad P_4 = (-2, -5)
\end{align*}
\]

\[
\begin{align*}
M_x &= \text{[Blank box]} \\
M_y &= \text{[Blank box]} \\
(\bar{x}, \bar{y}) &= \left( \text{[Blank box]} \right)
\end{align*}
\]
Transcribed Image Text:The masses \( m_i \) are located at the points \( P_i \). Find the moments \( M_x \) and \( M_y \) and the center of mass of the system. \[ \begin{align*} m_1 &= 6, \quad m_2 = 5, \quad m_3 = 4, \quad m_4 = 7; \\ P_1 &= (6, 4), \quad P_2 = (3, -1), \quad P_3 = (-2, 2), \quad P_4 = (-2, -5) \end{align*} \] \[ \begin{align*} M_x &= \text{[Blank box]} \\ M_y &= \text{[Blank box]} \\ (\bar{x}, \bar{y}) &= \left( \text{[Blank box]} \right) \end{align*} \]
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