(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is the moment of inertia of the plate about z axis?

2. Relevant equations

3. The attempt at a solution

Consider the isosceles triangle to be a part of a square of side l/root(2)

Its mass will be 2M

We know that its moment of inertia about the centre perpendicular to the plane is 2M(l^2/2)/6=Ml^2/6

Applying parallel axes theorem, moment of inertia about z axis will be Ml^2/6 + 2M(l^2/4)

which is 2/3 (Ml^2)

Moment of inertia of the triangle will be half of it i.e. Ml^2/3

but the answer is Ml^2/6

Please explain if there is any other easier approach.

So the moment of inertia of the triangle will be half of it i.e. Ml^2/12

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# Homework Help: What is the moment of inertia of the plate about z axis?

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