Problem $1(15$ pts$).$ Shown are three equal masses in an x$-$y plane, with distances from the origin $\backslash ($ a $\backslash )$ and $\backslash ($ b $\backslash ).$ Find,using the symbols given and constants:

$($a$)$ the moment of inertia for an axis along the x$-$axis;

$($b$)$ the moment of inertia for an axis along the y $-$axis;

$($c$)$ the moment of inertia for an axis perpendicular to the page and through the origin.