A particle of mass 1 kg is moving along the line y = x + 2 (here x and y are in m) with speed 2 m/s. The magnitude of angular momentum of the particle about origin is:

A particle of mass 1 kg is moving along the line y = x + 2 (here x and y are in m) with speed 2 m/s. The magnitude of angular momentum of the particle about origin is:

A
4 ${kgm}^{2} s^{- 1}$
B
$2 \sqrt{2}$ ${kgm}^{2} s^{- 1}$
C
$4 \sqrt{2}$ ${kgm}^{2} s^{- 1}$
D
2 ${kgm}^{2} s^{- 1}$

Solution:

Angular momentum of particle about origin O is:

$L = {mvr}_{1} = (1) (2) (2 \cos 45^{0}) = \frac{4}{\sqrt{2}} = 2 \sqrt{2}$ ${kgm}^{2} s^{- 1}$

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