First slide

Angular momentum

Question

A particle of mass m is moving with constant velocity v along X-axis in X-Y plane as shown in figure. Its angular momentum with respect to origin at any time
t, if position vector is r is

Moderate

A

3mvrk
B

$\sqrt{3} / 2 \cdot mvrk$
C

-1/2.mvr $\hat{k}$
D

mvrk

Solution

We know that $\vec{L} = \vec{r} \times \vec{p} = (r \cos 60^{0} \hat{i} + r \sin 60^{0} \hat{j}) \times (m v \hat{i}) = - \frac{1}{2} m v r \hat{k}$

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