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When two displacements represented by \large {Y_1}\, = \,a\sin \left( {\omega t} \right) and \large {Y_2}\, = \,b\cos \left( {\omega t} \right) are super- imposed the motion is  

 

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a
not a simple harmonic
b
simple harmonic with amplitude
c
simple harmonic with amplitude
d
simple harmonic with amplitude

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detailed solution

Correct option is C

y = y1+y2 = so the resulting motion is SHM with amplitude


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