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Why we define moment of inertia of body as sigma dm.r2 ? mass is defined as amount of matter in body similarly is there any physical meaning of moment of inertia ? Also how this formula came? can we derrive it, if yes then how? what i think is this formula must be derrived on the basis of law of conservation of angular momentum and principle of rigidity. is it? please help .


 Why we define moment of inertia of body as sigma dm.r2 ? mass is defined as amount of matter in body similarly is there any physical meaning of moment of inertia?

Also how this formula came? can we derrive it, if yes then how? 

what i think is this formula must be derrived on the basis of law of conservation of angular momentum and principle of rigidity. is it?

please help .


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