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j88k asked:


A string of length L vibrates at its fundamental frequency. The amplitude at a point (1/4) L from one end is 6.00 .

What is the amplitude of each of the traveling waves that form this standing wave?
A string of length L vibrates at its fundamental frequency. The amplitude at a point (1/4) L from one end is 6.00 .

What is the amplitude of each of the traveling waves that form this standing wave?

here’s a little hint:
“In the standing wave, the displacement of the particles of the string is given by
y(x,t) = A*sin(kx)*cos(wt).
For all the particles cos(wt) remains constant. When kx = 0, the point is node. When kx = pi/2, the point is anti node, which is at the middle of the string. At L/4, kx must be pi/4.
Now find A.”

euzebia