What is angular momentum

The moment of linear momentum of a body with respect to any axis of rotation is known as angular momentum. If  P is the linear momentum of a particle and its position vector from the point of rotation then angular momentum is given by the vector product of linear momentum and position vector.

$\vec{L} =\vec{r}\times\vec{P}$

$\vec{L} =\vec{r}\times\vec{P} = \vec{r}\times(m\vec{V}) = m(\vec{r}\times\vec{V})$

$\left | \vec{L} \right | = rpsin\theta$,  where $\theta$ is the angle between r and p.

$|\vec{L}|=mvrsin\theta$

• Its direction is always perpendicular to the plane containing vector  r and P

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