Four point masses are located around a point $O$ as shown at right. The masses measured in grams are: $m_1=190,m_2=55,$

$m_3=115,m_4=115.$ The distances measured in $cm$ are: $x1=5\mathrm{.}5,x2=36\mathrm{.}0,y1=15\mathrm{.}5,y2=53\mathrm{.}0.$ Possible paths of rotation

are shown with red arrows. Ignore the masses of the connecting members.

a$.$ What is the moment of inertia of the $4-$mass system if it is rotated around the $x-$axis?

b$.$ What is the moment of inertia of the $4-$mass system if it is rotated around the $y-$axis?

c$.$ What is the moment of inertia of the $4-$mass system if it is rotated around the Origin, Point $O,$ in the $x-$y plane?