A particle moves with a constant velocity parallel to the X-axis.… - Vidyadip

Question

A particle moves with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin:

Is zero.
Remains constant.
Goes on Increasing.
Goes on decreasing.

✓

Answer

Remains constant.

Explanation:
For angular momentum. we have:
$\overrightarrow{\text{L}}=\text{m}\Big(\overrightarrow{\text{r}}\times\overrightarrow{\text{v}}\Big)$
$\overrightarrow{\text{v}}=\text{v}\hat{\text{i}}$ and $\overrightarrow{\text{r}}=\text{x}\hat{\text{i}}+\text{y}\hat{\text{j}}$
So, $\overrightarrow{\text{L}}=-\text{mvy}\hat{\text{k}}$
m, v and y are constant; therefore, angular momentum remains constant.

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