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Parallel Axis Theorem

The moment of...

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The moment of inertia of a square lamina of side A and mass M about an axis passing through center of mass and perpendicular to the plane is

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A square plate of uniform thickness has moment of inertia I about an axis passing through its center mass and perpendicular to its plane. Now it is cut in to four identical square plates. The moment of inertia of each of the smaller plates, about an axis passing through its center of mass and perpendicular to its plane is

Q. Consider a uniform square plate of side

a

m

. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corner is

Q. A metal square of mass M has a moment of inertia = I about an axis perpendicular to the plane of the lamina passing through the Centre of gravity. If the mass is reduced to half of its mass and the side of the square is reduced to a/3, what will be the new moment of inertia

Q. Find the moment of inertia of an equilateral triangular lamina of mass

1 kg

and having sides

3 m

about the axis passing through its centre of mass and perpendicular to the plane of triangular lamina.

Q. A rectangular lamina of mass

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6 m

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