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$6.$ Four small $0\mathrm{.}200$ kg spheres, each of which you can regard as a point mass, are arranged in a square $0\mathrm{.}400$ m on a side and connected by light rods.

a$.$ Find the moment of inertia of the system about an axis along the line CD$.$

b$.$ The system starts to rotate from rest in the counterclockwise direction with an angular acceleration of $+2ra\frac{d}{s^2}.$ What is the angular velocity of the system after rotating $3$ revolutions?

c$.$ Calculate the rotational kinetic energy of the system. $(K\frac{E_r^{-\frac{1}{2}}}{{}_2})$

d$.$ Calculate the angular momentum of the system. $(L=I)$

e$.$ If the masses of spheres on the upper left and lower right were doubled, how would it affect your responses to $($a$)$ and $($b$)?$