Amplitude of x = a sin(wt) + b cos(wt)

1. A.
   The motion is simple harmonic motion with an amplitude $\sqrt[3]{a^2 + b^2}$
2. B.
   The motion is simple harmonic motion with an amplitude $\sqrt{a^2 + b^2}$
3. C.
   The motion is periodic but not simple harmonic motion
4. D.
   The motion is simple harmonic with an amplitude $(a^2 + b^2)$

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1. A.
   $4 : 1$
2. B.
   $\sqrt{2} : 1$
3. C.
   $1 : 1$
4. D.
   $1 : \sqrt{2}$

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