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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, 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
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In the figure a half of the meter scale is made of wood while the other half is of steel. The wooden part is pivoted at O. A force F is applied at the end of the steel part. In figure b the steel part is pivoted at O' 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 0.5 m about its geometric axis is 2 kg m2. If a string is tied to its circumference and a force of 10 N is applied, the value of torque with respect to this axis will be: