RD$1$Q$4$

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: x$1=5\mathrm{.}5,$x$2=36\mathrm{.}0,$y$1=15\mathrm{.}5,$y$2=53\mathrm{.}0.$ 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?RD$1$Q$4$

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?