AIPMT | 2015SHMHard
Question
When two dispalcements represented by y1 = asin(wt) and y2 = b cos(wt) are superimposed the motion is :
Options
A.simple harmonic with amplitude 
B.simple harmonic with amplitude 
C.simple harmonic with amplitude 
D.not a simple harmonic
Solution
y1 = a sin ωt
& y2 = b cos ωt = b sin (ωt +
)
since the frequencies for both SHM are same,
resultant motion will be SHM. Now
Amplitude A =
here A1 = a, A2 = b & φ =
So A =
Hence option (2)
& y2 = b cos ωt = b sin (ωt +
)since the frequencies for both SHM are same,
resultant motion will be SHM. Now
Amplitude A =
here A1 = a, A2 = b & φ =
So A =
Hence option (2)
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