Question

Moment of Inertia of a square plate about its diagonal?​

Answer 1

Answer:

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Answer 2

Moment of Inertia of a square plate about its diagonal is ML²/12

• One diagonal of a square plate divides it into two equal triangles.

We can measure the Moment of Inertia of a square plate by using the formula of moment of inertia of triangle or we can use the Perpendicular Axis Theorem.

• The moment of inertia of triangle is ML²/6, where M is the mass of the square plate.
• Now, by applying the perpendicular axis theorem, we get,

  The moment of Inertia × 2 = ML²/6

So, the moment of inertia of a square plate about its diagonal = ML²/12