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AP® Physics C: Mechanics

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Moderate

Center of Mass of a Bent Rod

APPHMC-YS7X4S

TOMIHIRO ONO. Created for Albert.io. Copyright 2016. All rights reserved.

A 2-dimensional bent rod is made out of a material with uniform density.

Its center of mass is located at which position coordinate? Refer to the diagram of the bent rod and ignore the rod's thickness in your calculations.

A

$(0,0)$

B

$(\cfrac {w} {4}, \cfrac {l}{4})$

C

$(\cfrac {w} {3}, \cfrac {l}{3})$

D

$(\cfrac {w} {2}, \cfrac {l}{2})$

E

$(\cfrac {w^{2}} {2(l+w)},\cfrac {l^{2}} {2(l+w)})$