MCQ
When a particle executes $SHM$ the nature of graphical representation of velocity as a function of displacement is :
- Acircular
- ✓elliptical
- Cparabolic
- Dstraight line
✓
Answer
Correct option: B.
elliptical
b
For a particle executing SHM,
For a particle executing SHM,
$x = A \sin (\omega t +\phi)$
$v =\omega A \cos (\omega t +\phi)$
$\Rightarrow \frac{ v ^{2}}{\omega^{2} A ^{2}}+\frac{ x ^{2}}{ A ^{2}}=1 \Rightarrow$ equation of ellipse between $v$ and $x.$
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