A particle of mass m is moving along the side of a square of side 'a', with a uniform speed ν in the x-y plane as shown in the figure: Which of the following statements is false for the angular momentum about the origin ?

Engineering

Physics

Angular Momentum and Conservation of Angular Momentum

Question

A particle of mass m is moving along the side of a square of side 'a', with a uniform speed ν in the x-y plane as shown in the figure:

Which of the following statements is false for the angular momentum $\vec{L}$ about the origin ?

$\vec{L} = - \frac{mυ}{\sqrt{2}} R \hat{k}$ when the particle is moving from A to B.

$\vec{L} = \frac{mυ}{\sqrt{2}} R \hat{k}$ when the particle is moving from D to A.

$\vec{L} = mυ [\frac{R}{\sqrt{2}} + a] \hat{k}$ when the particle is moving from B to C.

$\vec{L} = mυ [\frac{R}{\sqrt{2}} - a] \hat{k}$ when the particle is moving from C to D.

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Angular momentum = $\vec{r} \times \vec{p}$