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System of Particles and Rotational Motion: JEE Mains 2022, June 28 - Shift 1

Easy· Torque and angular momentum· +4 / −1

If

\vec r=\left(3\hat i+\hat j\right)\ \text{m}

,

\vec v=\left(3\hat j-\hat k\right)\ \text{m s}^{-1}

,

m=1\ \text{kg}

and

\left|\vec L\right|=\sqrt{x}\ \text{N m s}

, find the value of

x

.

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