?

AP® Physics C: Mechanics

Free Version

Upgrade subject to access all content

Difficult

Center of Mass (CoM): Non-Uniform Density Rod, Polynomial

APPHMC-WQOPUI

A thin rod lies along the x-axis from $x=0$ to $x=3cm$. The linear density of the rod, $\lambda$, is given by the equation: $\lambda =2+{ x }^{ 2 }$ and is in units of g/cm.

Where is the Center of Mass of the rod?

A

At $x=0.51cm$.

B

At $x=1.50cm$.

C

At $x=1.95cm$.

D

At $x=2.08cm$.

E

At $x=2.93cm.$