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Which of the following functions represe...

Which of the following functions represent (a) periodic motion, b) simple harmonic, (c) non-periodic, (d) periodic but not simple harmonic
(i) `sin^(2)omegat`
(ii) `sin 2omegat + cos 2omegat`
(iii) `cos(4omegat + (pi)/(6))`

Text Solution

AI Generated Solution

To determine which of the given functions represent periodic motion, simple harmonic motion (SHM), non-periodic motion, and periodic but not simple harmonic motion, we will analyze each function one by one. ### Step-by-Step Solution: 1. **Function (i): \( \sin^2(\omega t) \)** - We can rewrite \( \sin^2(\omega t) \) using the identity: \[ ...
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