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Figure shows a body of arbitrary shape 'O' is the centre of mass of the body and mass of the body is M. If then will be equal to

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Important Questions on Systems of Particles and Rotational Motion
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Agniveer Vayu
IMPORTANT
The moment of inertia of a solid sphere of radius about its diameter is same as the that of disc of radius about its diameter. The ratio of their masses is -

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Agniveer Vayu
IMPORTANT
From a circular disk of radius and mass , a small disk of radius is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disk and passing throught is


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The moment of inertia of a thin uniform rod of mass and length about an axis perpendicular to the rod through its centre is . The moment of inertia of the rod about an axis perpendicular to the rod through its end point is

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Agniveer Vayu
IMPORTANT
The moment of inertia of a thin rod of length and mass about an axis passing through a point at a distance from one of its ends and perpendicular to the rod is,

EASY
Agniveer Vayu
IMPORTANT
M.O.I of a ring of mass M and R about its diameter is

MEDIUM
Agniveer Vayu
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A straight rod AB of mass M and length L is placed on a frictionless horizontal surface. A horizontal force having constant magnitude F and fixed direction starts acting at the end A. The rod is initially perpendicular to the force. Find the initial acceleration of end B.

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A flywheel rotates with uniform angular acceleration. Its angular velocity increases from to in . How many rotations did it make in this period?

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A disc is rotating with an angular velocity . A constant retarding torque is applied on it to stop the disc. The angular velocity becomes after rotations. How many more rotations will it make before coming to rest?
