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NEET Class neet Answered

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Asked by Prashant DIGHE | 02 Jun, 2020, 21:49: PM
answered-by-expert Expert Answer
The displacement y of a particle executing periodic motion is given by 
y = 4 cos2 ((1/2)t) sin (1000 t) 
 
y space equals space 4 space cos squared space open parentheses t over 2 close parentheses space sin left parenthesis 1000 space t right parenthesis space equals space 2 space open parentheses fraction numerator 2 space cos squared space t over denominator 2 end fraction space sin space 1000 t close parentheses space
equals space 2 space left parenthesis cos space t space plus 1 right parenthesis space sin space 1000 t
equals space 2 space cos t space sin space 1000 t space plus space 2 space sin space 1000 t
equals space sin space 1000 t space plus thin space sin space 999 t space plus space 2 sin 1000 t space   
 
Thus, the expression may be considered to be the result of 3 independent harmonic motions. 
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ANSWERED BY EXPERT ANSWERED BY EXPERT