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Find moment of inertia of a uniform rect...

Find moment of inertia of a uniform rectangular plate about axis zz' passing through center and perpendicular to the plane of plate, as shown in Fig.

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To understand the motion of plate, imagine twirling your note book about its center by keeping index finger of two hands on two faces of the note book.
Calculations: This is a simple problem that can be solved using theorem of perpendicular-axis.
Compute: From Fig. , we see that
`I_(x x.)=(Mb^(2))/12andI_(x x.)=(Ml^(2))/12`.

Hence, from theorem of perpendicular-axis
`I_(zz.)=I_(x x.)+I_(yy.)`
= `M((B^(2)+l^(2))/12)`.
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