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The moment of inertia of a hollow cubical box of mass M and side length a, about an axis passing through centres of two opposite faces, is equal to xMa218. The value of x is

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Important Questions on Rotational Motion

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JEE Main
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Which of the following statements is true in case of the principle of perpendicular axes?
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The radius of gyration of a disc of mass 100 g and radius 5cm about an axis passing through its centre of gravity and perpendicular to the plane is
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A wheel comprises a ring of radius R and mass M and three spokes of mass m each. The moment of inertia of the wheel about its axis is

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One circular ring and one circular disc both having the same mass and radius. The ratio of their moments of inertia about the axis passing through their centres and perpendicular to planes will be
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The moment of inertia of a solid sphere about an axis passing through centre of gravity is 25MR2, then its radius of gyration about a parallel axis at a distance 2R from first axis is
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From a disc of radius R, a concentric circular portion of the radius r is cut out so as to leave an annular disc of mass M. The moment of inertia of this annular disc about the axis perpendicular to its plane and passing through its centre of gravity is
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The moment of inertia of a thin uniform rod of mass M and length L about an axis perpendicular to the rod through its centre is I. The moment of inertia of the rod about an axis perpendicular to the rod through its end point is
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Four point masses (each of mass m) are arranged in the X-Y plane. The moment of inertia of this array of masses about Y-axis is 

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