A string vibrates according to the equation y 10 sin pix4, Ask an Expert

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A string vibrates according to the equation y= 10 sin ((Π*x)/4) cos (50*Π*t), where x and y are in centimeters and t is in seconds.

A) What are the two component waves whose superposition can give rise to this vibration?

B) What is the distance between nodes?

C) What is the transverse velocity of the string at the position x=2cm when t=1/4 sec?

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