Question 82: Oscillations

Question

When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be :

Accepted Answer

Let $$x = A\sin \omega t$$
$$ \Rightarrow v = A\omega \cos \omega t$$
$$ \Rightarrow v = \, \pm \,\omega \sqrt {{A^2} - {x^2}} $$
$$ \Rightarrow {{{v^2}} \over {{\omega ^2}}} + {x^2} = {A^2}$$
$$\Rightarrow$$ Ellipse

Answer

Circular

Answer

Elliptical

Answer

Sinusoidal

Answer

Straight line

Oscillations

When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be :

Choose the correct answer: