Question
Find the center of mass of the point masses lying on the $x$ -axis.$$\begin{aligned}&m_{1}=6, m_{2}=3, m_{3}=5 \\&x_{1}=-5, x_{2}=1, x_{3}=3\end{aligned}$$
Step 1
This is done by multiplying each mass by its corresponding position and summing these products. This gives us: $$ \sum m_{i} x_{i} = m_{1}x_{1} + m_{2}x_{2} + m_{3}x_{3} = 6(-5) + 3(1) + 5(3) = -30 + 3 + 15 = -12 $$ Show more…
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