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Updated on : 2022-09-05

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Consider a point R, which is at a distance $y$ from point Q, i.e.,

$QR=y$

∴ $PR=d−y$

∴ $PR=d−y$

Angular momentum of the system about point P:

$L_{P}=mv×0+mv×d=mvd......(i)$

Angular momentum of the system about point Q:

$L_{Q}=mv×d+mv×0=mvd....(ii)$

Angular momentum of the system about point R:

$L_{R}=mv×(d−y)+mv×y=mvd....(iii)$

Comparing equations **(i)**, **(ii)**, and **(iii)**, we get:

$L_{P}=L_{Q}=L_{R}......(iv)$

We infer from equation $(iv)$ that the angular momentum of a system does not depend on the point about which it is taken.

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