Physics - Center of Mass Question with Solution | TestHub

The x-coordinate of the center of mass ($X_{COM}$) for a system of point masses is given by the formula:$$X_{COM}=\frac{\sum m_i{x}_i}{\sum m_i}$$ Given masses and their x-coordinates:$m_1=1\text{ kg},x_1=0\text{ m}$ $m_2=2\text{ kg},x_2=3\text{ m}$ $m_3=3\text{ kg},x_3=0\text{ m}$ Substitute the values:$$X_{COM}=\frac{(1\times 0)+(2\times 3)+(3\times 0)}{1+2+3}=\frac{0+6+0}{6}=\frac{6}{6}=1\text{ m}$$ The x-coordinate of the center of mass is 1 m.