You are a project manager for a manufacturing company. One of the machine parts on the assembly line is a thin, uniform rod that is $60\mathrm{.}0cm$ long and has mass $0\mathrm{.}500kg.$

Part A

What is the moment of inertia of this rod for an axis at its center, perpendicular to the rod?

Express your answer with the appropriate units.

$I=,||$

Part B

One of your engineers has proposed to reduce the moment of inertia by bending the rod at its center into a V$-$shape, with a $60\mathrm{.}0$ angle at its vertex. What would be the moment of inertia of this bent rod about an axis perpendicular to the plane of the $V$ at its vertex?

Express your answer with the appropriate units.

$I=$