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What is angular momentum

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 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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