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Question

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


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

$\overrightarrow L = mv\left[ {{R \over {\sqrt 2 }} + a} \right]\widehat k$
when the particle is moving from B to C.
$\overrightarrow L = {{mv} \over {\sqrt 2 }}R\widehat k$
when the particle is moving from D to A.
$\overrightarrow L = - {{mv} \over {\sqrt 2 }}R\widehat k$
when the particle is moving from A to B
$\overrightarrow L = mv\left[ {{R \over {\sqrt 2 }} - a} \right]\widehat k$
when the particle is moving from C to D.

Solution

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