Derive relation between angular moment and moment of inertia
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Angular momentum L= r×p
L=r×mv
L=m(r×v)
multiply and divide by r²
L=mr²(r×v)/r²
as mr²=I (moment of inertia) and (r×v)/r² =ω (angular velocity)
so L=Iω
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Moment of inertia is a measure of inertia of the body when the body is rotating about an axis.
It is found by summation of mass * square of radius of gyration for all particles in the object.
Moment of inertia plays a part ,similar to mass in linear kinetics, in rotaional dynamics.
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