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A $15\text{ g}$ meter stick is placed horizontally onto a fulcrum located at its $30\text{ cm}$ mark. The meter stick can be treated as a thin rod where its moment of inertia about its center of mass is $I_{cm}=\frac{1}{12}mL^2$.

What is the initial angular acceleration caused by its weight upon release from rest?

A

$1.96 \text{ rad/s}^2 $

B

$9.80 \text{ rad/s}^2 $

C

$15.9 \text{ rad/s}^2 $

D

$23.6 \text{ rad/s}^2 $

E

$49.0\text{ rad/s}^2 $

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