Relation between angular momentum and moment of inertia with the help of calculus .Please help me fast . Please....
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The more angular momentum an object has, the more it wants to keep rotating. ... Angular momentum (L) is defined as moment of inertia (I) timesangular velocity (omega). An object'smoment of inertia is a measurement of its ability to resist angularacceleration. In this way it works similarly to mass for linearmomentum. Expert Reply

Wed September 11, 2013
We know that
Angular momentum is given by,
L = mv *r
= (mr2)(v/r)
= I?
Where, I = moment of inertia = mr2
? = v/r = angular velocity.
Moment of inertia of a body about a given axis is the sum of the products of masses of all the particles of the body and squares of their respective perpendicular distance from the axis of rotation. It is a rotational analog of the mass of a body.
It is given as
I = MR2
where M is the mass of the body and R is its rotational radius.

Wed September 11, 2013
We know that
Angular momentum is given by,
L = mv *r
= (mr2)(v/r)
= I?
Where, I = moment of inertia = mr2
? = v/r = angular velocity.
Moment of inertia of a body about a given axis is the sum of the products of masses of all the particles of the body and squares of their respective perpendicular distance from the axis of rotation. It is a rotational analog of the mass of a body.
It is given as
I = MR2
where M is the mass of the body and R is its rotational radius.
Explode:
I want it with the help of calculus .
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