HARD
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Three particles, each of mass are situated at the vertices of an equilateral triangle of side (as shown in the figure).

The moment of inertia of the system about a line perpendicular to and in the plane of , will be:-

(a)
(b)
(c)
(d)

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Important Questions on Rotational Mechanics
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A solid cylinder of mass has length and radius . Then its moment of inertia (in ) about its geometrical axis is:-

EASY
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The moment of inertia

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The moment of inertia of a circular ring (radius R, mass M) about an axis which passes through tangentially and perpendicular to its plane will be :

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What is the moment of inertia of the ring about its diameter?

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In the rectangular lamina shown in the figure, . The moment of inertia of the lamina is minimum along the axis passing through:-

MEDIUM
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Which of the following bodies of the same mass and same radius has a minimum moment of inertia?

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A ring and a solid sphere of the same mass and radius are rotating with the same angular velocity about their diametric axes, then

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For rotational motion, the Newton’s second law of motion is indicated by
