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Find the displacement equation of the si...

Find the displacement equation of the simple harmonic motion obtained by conbining the motions.
`x_(1)=2 "sin "omegat,x_(2)=4 "sin "(omegat+(pi)/(6))`
and `x_(3)=6 "sin" (omegat+(pi)/(3))`

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To find the displacement equation of the simple harmonic motion (SHM) obtained by combining the motions given by \( x_1 = 2 \sin(\omega t) \), \( x_2 = 4 \sin(\omega t + \frac{\pi}{6}) \), and \( x_3 = 6 \sin(\omega t + \frac{\pi}{3}) \), we will follow these steps: ### Step 1: Identify the components of each motion The three motions can be represented as: - \( x_1 = 2 \sin(\omega t) \) - \( x_2 = 4 \sin(\omega t + \frac{\pi}{6}) \) - \( x_3 = 6 \sin(\omega t + \frac{\pi}{3}) \) ...
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