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Two SHM's are represented by y(1) = A si...

Two SHM's are represented by `y_(1) = A sin (omega t+ phi), y_(2) = (A)/(2) [sin omega t + sqrt3 cos omega t]`. Find ratio of their amplitudes.

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To solve the problem of finding the ratio of amplitudes of the two simple harmonic motions (SHMs) represented by the equations \( y_1 = A \sin(\omega t + \phi) \) and \( y_2 = \frac{A}{2} \left[ \sin(\omega t) + \sqrt{3} \cos(\omega t) \right] \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the amplitude of \( y_1 \)**: The equation for \( y_1 \) is given as: \[ y_1 = A \sin(\omega t + \phi) ...
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