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a circular lamina of radius a and centre O has mass per unit area of kx^2, where x is the distance from O and k is a constant. If the mass of the lamina is M ,find in terms of M and a, the moment of inertia of the lamina about an axis through O and perpendicular to the lamina.

a circular lamina of radius a and centre O has mass per unit area of kx^2, where x is the distance from O and k is a constant. If the mass of  the lamina is M ,find in terms of M and a, the moment of inertia of the lamina about an axis through O and perpendicular to the lamina. 

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1 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

I=∫x2k(2pi)x dx from x=0 to x=a

M=∫kx2(2pi)x dx from x=0 to x=a

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