Problem: The three masses shown in the figure are connected by massless, rigid rods. Assume that m1 = 170 g and m2 = 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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FREE Expert Solution

The x-component of center of mass:

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

Similarly, y-component of the center of mass:

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

Problem Details

The three masses shown in the figure are connected by massless, rigid rods. Assume that m1 = 170 g and m2 = 310 g.

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

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

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

Our tutors have indicated that to solve this problem you will need to apply the Intro to Center of Mass concept. You can view video lessons to learn Intro to Center of Mass. Or if you need more Intro to Center of Mass practice, you can also practice Intro to Center of Mass practice problems.

What professor is this problem relevant for?

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