Question #13297

The displacement of a simple harmonic oscillator is represented by x=a sin wt. If the displacement x and velocity v are plotted in rectangular axes, then prove that-

(i) the locus of (x,v ) points will be ellipse and

(ii) this ellipse represents a path of constant energy

(i) the locus of (x,v ) points will be ellipse and

(ii) this ellipse represents a path of constant energy

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