When two displacement represented by \( y_{1}=a \sin (\omega t) \) ...

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When two displacement represented by \( y_{1}=a \sin (\omega t) \) and \( y_{2}=b \cos (\omega t) \) are superimposed the motion is
\( \mathrm{P} \)
[AIPMT (Cancelled) 2015]
W
(a) Simple harmonic with amplitude \( \frac{a}{b} \)
(b) Simple harmonic with amplitude \( \sqrt{a^{2}+b^{2}} \)
(c) Simple harmonic with amplitude \( \frac{(a+b)}{2} \)
(d) Not a simple harmonic
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