A rope, under a tension of \( 200 \mathrm{~N} \) and fixed at both ...

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A rope, under a tension of \( 200 \mathrm{~N} \) and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by: \( \quad Y=(0.10 \mathrm{~m})(\sin \pi \mathrm{x} / 2) \sin 12 \pi \mathrm{t} \)
\( \mathrm{P} \) where \( \mathrm{x}=0 \) at one end of the rope, \( \mathrm{x} \) is in meters and \( \mathrm{t} \) is in seconds. What are

W the speed of the progressive waves on the rope,
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