ðŸ¤“ Based on our data, we think this question is relevant for Professor TBA's class at GGC.

The x-component of center of mass:

$\overline{){{\mathbf{x}}}_{\mathbf{c}\mathbf{m}}{\mathbf{=}}\frac{{\mathbf{m}}_{\mathbf{1}}{\mathbf{x}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}{\mathbf{x}}_{\mathbf{2}}\mathbf{+}{\mathbf{m}}_{\mathbf{3}}{\mathbf{x}}_{\mathbf{3}}}{\mathbf{(}{\mathbf{m}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}\mathbf{+}{\mathbf{m}}_{\mathbf{3}}\mathbf{)}}}$

Similarly, y-component of the center of mass:

$\overline{){{\mathbf{y}}}_{{\mathbf{cm}}}{\mathbf{=}}\frac{{\mathbf{m}}_{\mathbf{1}}{\mathbf{y}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}{\mathbf{y}}_{\mathbf{2}}\mathbf{+}{\mathbf{m}}_{\mathbf{3}}{\mathbf{y}}_{\mathbf{3}}}{\mathbf{(}{\mathbf{m}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}\mathbf{+}{\mathbf{m}}_{\mathbf{3}}\mathbf{)}}}$

The three masses shown in the figure are connected by massless, rigid rods. Assume that m_{1 }= 170 g and m_{2} = 310 g.

A.) What is the x-coordinate of the center of mass?

B.) What is the y-coordinate of the center of mass?

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

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Based on our data, we think this problem is relevant for Professor TBA's class at GGC.