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

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

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Important Questions on Rotational Mechanics

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A solid cylinder of mass 20 kg has length 1 m and radius 0.2 m. Then its moment of inertia (in kg m2) about its geometrical axis is:-
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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, AB=BC2. The moment of inertia of the lamina is minimum along the axis passing through:-

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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