Question

square plate of side l has mass per unit area u. Find its moment of inertia about an axis passing through
the centre and perpendicular to its plane.
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Answer 1

Answer:

(l/squrt2)^2

Explanation:

solve the distance between center and the points and use perpendicular axis therom.

Answer 2

Answer:

ul^4/6

Explanation

given:side=l

mass per unit area=u

total mass=ul^2

I=MR^2/12

by using theorem of perpendicular axes

Iz=Ix+Iy

  =2 Ix

 =2(MR^2/12)

 =2*( UL^2* L^2/12)

Iz=ul^4/6