Question
Sketch the following systems on a number line and find the location of the center of mass.$m_{1}=8 \mathrm{kg}$ located at $x=2 \mathrm{m} ; m_{2}=4 \mathrm{kg}$ located at $x=-4 \mathrm{m}$ $m_{3}=1 \mathrm{kg}$ located at $x=0 \mathrm{m}$
Step 1
The center of mass for a system of particles is given by the formula: \[x_{cm} = \frac{\sum_{i=1}^{n} m_{i}x_{i}}{\sum_{i=1}^{n} m_{i}}\] where \(m_{i}\) is the mass of the ith particle and \(x_{i}\) is the position of the ith particle. Show more…
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Individual masses on a line Sketch the following systems on a number line and find the location of the center of mass. $$\begin{aligned} &m_{1}=8 \mathrm{kg} \text { located at } x=2 \mathrm{m} ; m_{2}=4 \mathrm{kg} \text { located at } x=-4 \mathrm{m}\\ &m_{3}=1 \mathrm{kg} \text { located at } x=0 \mathrm{m} \end{aligned}$$
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Sketch the following systems on a number line and find the location of the center of mass. $m_{1}=10 \mathrm{kg}$ located at $x=3 \mathrm{m} ; m_{2}=3 \mathrm{kg}$ located at $x=-1 \mathrm{m}$
Individual masses on a line Sketch the following systems on a number line and find the location of the center of mass. $$m_{1}=10 \mathrm{kg} \text { located at } x=3 \mathrm{m} ; m_{2}=3 \mathrm{kg} \text { located at } x=-1 \mathrm{m}$$
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