Center of mass about an axis is given by:

$\overline{)\begin{array}{rcl}\mathbf{\sum}_{\mathbf{n}\mathbf{=}\mathbf{1}}^{\mathbf{n}\mathbf{=}\mathbf{i}}{\mathbf{m}}_{\mathbf{i}}{\mathbf{x}}_{\mathbf{i}}& {\mathbf{=}}& \mathbf{\left(}\mathbf{\sum}_{\mathbf{n}\mathbf{=}\mathbf{1}}^{\mathbf{n}\mathbf{=}\mathbf{i}}{\mathbf{m}}_{\mathbf{i}}\mathbf{\right)}\overline{\mathbf{x}}\end{array}}$

One of the 100 g masses is located at x = 0 cm while the other is located at x = 12 cm. The 200 g mass is located in an equilateral triangle so that x = 6 cm.

Find the coordinates of the center of mass. Find the *x*-coordinate.

Express your answer to two significant figures and include the appropriate units.

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What scientific concept do you need to know in order to solve this problem?

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