A particle moves in x-y plane according to ru | vedclass

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Question

$\begin{array}{l}
\,\,\,\,\,\,\,\,\,\,x = a\,\sin \,\omega t\,\,\,or\,\frac{x}{a} = \sin \,\omega t\,\,\,\,\,...\left( i ight)\
\,\,\,\,\,\,\,\,\

Vedclass · Accepted Answer

a circular path

Vedclass · Answer

$\begin{array}{l}
\,\,\,\,\,\,\,\,\,\,x = a\,\sin \,\omega t\,\,\,or\,\frac{x}{a} = \sin \,\omega t\,\,\,\,\,...\left( i ight)\
\,\,\,\,\,\,\,\,\,y = \,a\,\cos \,\omega t\,\,or\,\frac{y}{a} = \,\cos \,\omega t\,\,\,\,...\left( {ii} ight)\
Squaring\,and\,adding,\,we\,get\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1\,\,\,\left( {\,{{\cos }^2}\,\omega t + \sin \omega t = 1} ight)\
or\,\,\,{x^2} + {y^2} = {a^2}\
This\,is\,the\,equation\,of\,a\,circle.\,Hence\
particle\,follows\,a\,circular\,path.
\end{array}$

A particle moves in $x-y$ plane according to rule $x = {\rm{asin}}\omega t$ and $\;y = {\rm{acos}}\omega t$. The particle follows

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