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The moment of inertia

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Important Questions on Rotational Mechanics
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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:-

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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

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In the figure half of the meter scale is made of wood while the other half is of steel. The wooden part is pivoted at . A force is applied at the end of the steel part. In figure the steel part is pivoted at and the same force is applied at the wooden end (In horizontal plane):

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The moment of inertia of a disc of radius about its geometric axis is . If a string is tied to its circumference and a force of is applied, the value of torque with respect to this axis will be:
