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 inertial about the axis of rotation is :
MR 2
MR 2
MR 2
MR 2
Text Solution
Verified by ExpertsA
Mass of the whole disc = 4 M
Moment of inertia of the disc about the given axis
= 
(4M)R 2 = 2MR 2
∴ Moment of inertia of quarter section of the disc = 
(2MR 2 ) = 
MR 2
These type of questions are often asked in objective. Students generally err in taking mass of the whole disc. They take it M instead of 4 M.
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