Problem $10\mathrm{.}95$

The wire in $($Eigure $1)$ has a mass of $\backslash (0\mathrm{.}1\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}\backslash ).$ Neglect the size of the ring at $\backslash ($ O $\backslash ).$

Part A

Determine the moment of inertia of the wire triangle about an axis perpendicular to the page and passing through point $\backslash ($ O $\backslash ).$

Express your answer to three significant figures and include the appropriate units.

Part B

Locate the mass center $\backslash ($ G $\backslash ).$

Express your answer to three significant figures and include the appropriate units.

$\backslash [$

$\backslash$bar$\{$y$\}=$

$\backslash ]$

Part C

Determine the moment of inertia about an axis perpendicular to the page and passing through point $\backslash ($ G $\backslash ).$

Express your answer to three significant figures and include the appropriate units.

$\backslash [$

I$\_\{$G$\}=$

$\backslash ]$