Consider the two harmonic motions (x_{1}(t)=frac{1}{2} cos frac{pi}{2} t) and (x_{2}(t)=sin pi t). Is the sum (x_{1}(t)+x_{2}(t))
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Consider the two harmonic motions \(x_{1}(t)=\frac{1}{2} \cos \frac{\pi}{2} t\) and \(x_{2}(t)=\sin \pi t\). Is the sum \(x_{1}(t)+x_{2}(t)\) a periodic motion? If so, what is its period?
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