For a particle undergoing simple harmonic motion, the velocity is plotted against displacement. The curve will be
a parabola
a straight line
a circle
an ellipse

Question

For a particle undergoing simple harmonic motion- the velocity is plotted against displacement- The curve will bea parabolaa straight linea circlean ellipse

Toppr Admin · Accepted Answer

V-x3C9-x221A-A2-x2212-x2-x2234-xA0-xA0- v2-x3C9-2-x2-1-2-A2Hence v-x2212-x graph is an ellipse-

For a particle undergoing simple harmonic motion, the velocity is plotted against displacement. The curve will bea parabolaa straight linea circlean ellipse

v=ω√A2−x2∴ v2ω2+x2(1)2=A2Hence v−x graph is an ellipse.

For a particle undergoing simple harmonic motion, the velocity is plotted against displacement. The curve will be
a parabola
a straight line
a circle
an ellipse

$v = ω \sqrt{A^{2} - x^{2}}$
$∴$ $\frac{v^{2}}{ω^{2}} + \frac{x^{2}}{{(1)}^{2}} = A^{2}$
Hence $v - x$ graph is an ellipse.