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Four particles each of mass are placed at the corners of a square of side length . Then the moment of inertia of four bodies about an axis perpendicular to the plane of frame and passing through a corner is
(a)
(b)
(c)
(d)

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Important Questions on Systems of Particles and Rotational Motion
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Agniveer Vayu
IMPORTANT
Three point sized bodies each of mass M are fixed at three corners of light triangular frame of side length L. About an axis perpendicular to the plane of frame and passing through centre of frame the moment of inertia of three bodies is .
In above problem about an axis passing through any side of frame the moment of inertia of three bodies is

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Agniveer Vayu
IMPORTANT
Four spheres each of mass M and radius R are placed with their centers on the four corners A,B,C and D of a square of side b. The spheres A and B are hollow and C and D are solids. The moment of inertia of the system about side AD of square is

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Agniveer Vayu
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Three point masses, each of mass are placed at the corners of an equilateral triangle of side . Moment of inertia of this system about an axis along one side of triangle is

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Agniveer Vayu
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Moment of inertia of a uniform circular disc about a diameter is . Its moment of inertia about an axis to its plane and passing through a point on its periphery will be

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Agniveer Vayu
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The diameter of a flywheel is increased by . Increase in its moment of inertia about the central axis is

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Agniveer Vayu
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Two discs have same mass and thickness. Their materials have densities and . The ratio of their moments of inertia about central axis will be

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Figure shows a body of arbitrary shape 'O' is the centre of mass of the body and mass of the body is M. If then will be equal to


MEDIUM
Agniveer Vayu
IMPORTANT
The moment of inertia of a solid sphere of radius about its diameter is same as the that of disc of radius about its diameter. The ratio of their masses is -
