# Problem: The center of gravity of an irregular object of mass 5.10 g is shown in the figure.You need to move the center of gravity 2.30 cm to the left by gluing on a tiny 1.60-g mass, which will then be considered as part of the object.Where should you attach this additional mass?

###### FREE Expert Solution

X-coordinate of the center of mass:

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

Let x be the distance between the object mass and the tiny mass. ###### Problem Details

The center of gravity of an irregular object of mass 5.10 g is shown in the figure. You need to move the center of gravity 2.30 cm to the left by gluing on a tiny 1.60-g mass, which will then be considered as part of the object.

Where should you attach this additional mass?

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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 Review: Center of Mass concept. You can view video lessons to learn Review: Center of Mass. Or if you need more Review: Center of Mass practice, you can also practice Review: Center of Mass practice problems.