Question
In Problems $11-14$, find the moments $M_{x}$ and $M_{y}$ and the center of mass of each system of masses.$$\begin{aligned}&m_{1}=4, m_{2}=8, m_{3}=1 \text { located, respectively, at the points }\\&(0,2),(2,1),(4,8)\end{aligned}$$
Step 1
For $M_{x}$, we have: \[M_{x} = m_{1}y_{1} + m_{2}y_{2} + m_{3}y_{3} = 4*2 + 8*1 + 1*8 = 8 + 8 + 8 = 24\] For $M_{y}$, we have: \[M_{y} = m_{1}x_{1} + m_{2}x_{2} + m_{3}x_{3} = 4*0 + 8*2 + 1*4 = 0 + 16 + 4 = 20\] Show more…
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