Questions
Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by 45o, then:
(i) the resultant amplitude is
(ii) the phase of the resultant motion relative to the first is 900
(iii) the energy associated with the resulting motion is times the energy associated with any single motion
(iv) the resulting motion is not simple harmonic
detailed solution
Correct option is A
Resultant y=y1+y2+y3 y=a sin ωt-45o+a sin ωt+a sinωt+45o ⇒ y=1+2a sin ωt So the phase of the resulting motion relative to the first (1) is 45°. As Energy ∝(Amplitude)2 So ERES=1+2aa2=3+22Talk to our academic expert!
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