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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A particle of mass 2 kg is moving such that its position is given by
$P(t)=5\hat{i}-2t^2\hat{j}$
Find angular momentum at $t=2$ sec about origin.
Solution
Position at $t=2$:
$\vec{r}=5\hat{i}-8\hat{j}$
Velocity:
$\vec{v}=\frac{d\vec{r}}{dt}=-4t\hat{j}$
At $t=2$:
$\vec{v}=-8\hat{j}$
Momentum:
$\vec{p}=m\vec{v}=2(-8\hat{j})=-16\hat{j}$
Angular momentum:
$\vec{L}=\vec{r}\times\vec{p}$
$=(5\hat{i}-8\hat{j})\times(-16\hat{j})$
$= -80\hat{k}$
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