Sources separated by \( 20 \mathrm{~m} \) vibrate according to the equation \( y_{1}=0.06 \sin \...

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Sources separated by \( 20 \mathrm{~m} \) vibrate according to the equation \( y_{1}=0.06 \sin \pi t \) and \( y_{2}=0.02 \sin \pi t \). They send out waves along a rod with speed \( 3 \mathrm{~m} / \mathrm{s} \). What is the equation of motion of a particle \( 12 \mathrm{~m} \) from the first source and \( 8 \mathrm{~m} \) from the second, \( y_{1}, y_{2} \) are in metre?
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