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AP® Physics C: Mechanics

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Moderate

Center of Mass (CoM): Two Spheres on a Rod, then One is Moved

APPHMC-VQV39O

Two spheres of mass $M$ and $4M$ are connected by a rod whose mass is negligible, and the distance between the centers of each sphere is $d$.

The $4M$ sphere is moved a distance $d/3$ towards the smaller sphere.

How far has the Center of Mass for the entire object moved?

A

The Center of Mass has not moved, because both spheres still have their original masses.

B

$d/15$

C

$d/5$

D

$4d/15$

E

$8d/15$