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AP® Physics C: Mechanics

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Center of Mass: Non-Uniform Rod: Linear

APPHMC-REMK@I

A thin rod lies along the x-axis from $x=0$ to $x=0.60m$. The linear density of the rod, $\lambda$, is given by the equation: $\lambda =2.0-3.0x$ and is in units of kg/m.

Where is the Center of Mass of the rod?

A

At $x=0.14m$.

B

At $x=0.20m$.

C

At $x=0.22m$.

D

At $x=0.30m$.

E

At $x=0.38m$.