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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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Important Questions on Rotational Motion

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 126
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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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 127
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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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 128
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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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 129
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
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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 130
Three thin uniform rods, each of mass M and length L, are placed along the three axes of a cartesian coordinate system with one end of each rod at the origin. The moment of inertia of the system about the z-axis will be,
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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 131
Two rings of same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is, (Mass of the ring=m, radius=r.)
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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 133
The moment of inertia of a uniform circular disc about its diameter is 200 gm cm2 . Then its moment of inertia about an axis passing through its centre and perpendicular to its circular face is
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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 134
The moment of inertia of disc about an axis perpendicular to its plane and passing through its centre is MR22. Its moment of inertia about a tangent in its plane