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- Homework Statement
- Find the center of mass of a one-meter long rod, made of 50 cm of iron (density ##8g/cm^3##) and 50 cm of aluminum (density ##2.7g/cm^3##).

- Relevant Equations
- density = ##\frac{m}{V}##

## r_{cm} = \frac{1}{M} \int \vec r \, dm ##

I feel like I'm missing something fundamental here. Given only the lengths and the densities, how am I supposed to find a numerical centre of mass?

Thought process so far:

Are we supposed to use the ratio of the densities to find this answer? like ##\frac{8g/cm^3}{2.7g/cm^3}##? and then use that ratio to pinpoint somewhere in this one-meter long rod?

Thought process so far:

Are we supposed to use the ratio of the densities to find this answer? like ##\frac{8g/cm^3}{2.7g/cm^3}##? and then use that ratio to pinpoint somewhere in this one-meter long rod?

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