Tutorial Exercise

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.

$m_1=1,m_2=2,m_3=7$

$P_1=(2,-4),P_2=(-3,2),P_3=(3,4)$

Step $1$

The total mass $of$ the system $is$ the sum $of$ the individual masses.

$m=m_1+m_2+m_3$

$=$

Step $2$

$In$ terms $of{m}_i$ and $(x_i,y_i),we$ have the following formulas.

$M_x={\displaystyle \underset{i=1}{\overset{3}{}}}(mi,)$

$M_y={\displaystyle \underset{i=1}{\overset{3}{}}}$