Define an expression for moment of inertia of a disc R are mass M about an axis along its diameter.
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The moment of inertia of a disc about one of its diameter is I. The mass per unit area of disc is proportional to the distance from the centre. If radius of the disc is R and its mass is M, then what is the value of I?
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Consider a circular disc of mass ‘M’ and radius ‘R’. Let us take an axis AB perpendicular to the plane of the disc and passing through CG, about which moment of inertia is to be determined. Let us divide the disc into large no. of elementary concentric circular rings. Consider any one of such ring of radius x and thickness dx.
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