If two `S.H.M.'s` are represented by equation `y_(1) = 10 "sin" [3pit+(pi)/(4)]` and `y_(2) = 5[sin(3pit)+sqrt(3)cos(3pit)]` then find the ratio of their amplitudes and phase difference in between them.
Text Solution
AI Generated Solution
To solve the problem, we need to analyze the two given equations of simple harmonic motion (SHM) and extract the required information: the ratio of their amplitudes and the phase difference between them.
### Step 1: Identify the first equation
The first equation is given as:
\[ y_1 = 10 \sin \left(3\pi t + \frac{\pi}{4}\right) \]
From this equation, we can identify the amplitude and phase constant.
### Step 2: Extract amplitude and phase constant from \( y_1 \)
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