Home Physics System of Particles Rotational Motion Moment of Inertia One quarter sector is cut from a uniform cir…
Physics System of Particles Rotational Motion Moment of Inertia MCQ (Single Correct)

One quarter sector is cut from a uniform circular disc of radius R . This sector has mass M . It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

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The correct answer is:
A

The MI of th of the disc can be considered as difference of MI of the full disc and MI of th of the disc.
Given, Mass of th disc
Hence, mass of the full circular disc is
Let MI of the full disc be
Let MI of one quarter of disc be
Thus, MI of th of disc:

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