Final answer:
The x-coordinate of the center of mass of a system is calculated as the weighted average of the x-positions of the masses, but the question lacks details on distances and the third mass to provide a specific answer.
Step-by-step explanation:
The student is asking for the x-coordinate of the center of mass of a system consisting of three masses connected by massless, rigid rods. To find this, we would normally use the formula for the center of mass in one dimension:
![\[ x_(cm) = (m_1 \cdot x_1 + m_2 \cdot x_2 + m_3 \cdot x_3)/(m_1 + m_2 + m_3) \]](https://img.qammunity.org/2024/formulas/physics/high-school/9a7dj80bumggfrfku61aqxxy3978hi772m.png)
Here,
are the masses, and
are their respective positions along the x-axis. Since the question does not provide specifics on distances or the third mass, we cannot calculate the exact x-coordinate without this information.
However, the principle involves summing the moments (product of mass and position) of each mass and then dividing by the total mass.