The displacement of a particle executing periodic motion is given by$\ y = 4\cos^{2}{(t/2)}sin(1000t)$. This expression may be considered to be a result of superposition of

Question

Dr. Abubacker · Accepted Answer

(b) $y = 4\cos^{2}{(t/2)\sin{(1000t)}}$
$= 2\left\lbrack 2\cos^{2}{(t/2)\sin{(1000t)}} ightbrack$
$= 2\left\lbrack (1\cos t)\sin{(1000t)} ightbrack$
$= 2\sin{1000t + 2\sin{1000t\cos t}}$
$y = 2\sin{1000t + {sin(}{1001t) +}}\sin{(999t)}$
$	herefore$ The given wave represents the super position of three waves.

Q. The displacement of a particle executing periodic motion is given by$\ y = 4\cos^{2}{(t/2)}sin(1000t)$. This expression may be considered to be a result of superposition of

Explanation

Reviewed by Dr. Abubacker

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