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Two rings are placed with common centres such that their planes are perpendicular. Two more rings are placed concentric with the previous two rings such that their planes make 45° with the planes of the two given rings. Find the moment of inertia of the system about an axis passing through the diameter of one of the rings.

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Important Questions on Rotational Motion

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A uniform cylinder has length L and radius R. The moment of inertia of the cylinder about an axis passing through its centre and perpendicular to its length is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its circular face. The relation between L and R is
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Which of the following statements is true in case of the principle of perpendicular axes?
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From a circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

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Moment of inertia I of a solid sphere about an axis parallel to diameter and at distance x from its centre of mass varies as
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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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Consider a cone which is hollow from the inside. The upper compartment is filled with water which slowly drips down to lower one. Once all the water has come to the lower part, the MOI of the arrangement about the given axis (assuming that there is enough viscosity so that the water rotates with the cone)
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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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Two loops P and Q are made from a uniform wire. The radii of P and Q are r1 and r2 respectively and their moments of inertia are I1 and I2 respectively. If I2I1=4 then, r2r1 is equal to