Mechanics> SHM...
IF TWO OR MORE SHM EQUATIONS ARE GIVEN OF THE FORM
y=Asin(wt+kx)
SUCH THAT THE w i.e the angular freq. ARE DIFFERENT IN BOTH THEN HOW TO FIND RESULTANT w.
1 Answers
Dear Aman
y1=A'sin(w1t+kx) & y2=A'sin(w2t+kx)
y1 +y2 =A'sin(w1t+kx) + A'sin(w2t+kx)
=A'2cos(w1-w2)t/2 sin{(w1+w2)t/2 +kx}
let |w1-w2|=δw and (w1+w2)/2 =w
y =2A'cosδwt/2 sin(wt+kx)
=Asin(wt+kx)
where A=2A'cosδwt/2
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