Question

A particle of mass $m$ is moving with constant velocity $v$ parallel to $x$-axis in $x-y$ plane as shown in figure. Calculate its angular momentum with respect to origin at anyinstant '$t$'.

• A. mrv
• B. mvb
• C. $\frac{1}{2}mvb$
• D. 2mvb

Answer 1

The correct option is B

mvb

$\overrightarrow{L}$ = $\overrightarrow{r}\times \overrightarrow{p}$

$|\overrightarrow{L}|$ = $\left(rsin\theta \right)\left(mv\right)$ $\{|\overrightarrow{A}\times \overrightarrow{B}|\}$

= $mvb${perpendicular to $\overrightarrow{v}$ and $\overrightarrow{r}$}