The problem involves a string of length L vibrating at its fundamental frequency, with a specific amplitude given at a point along the string. The original poster seeks to determine the amplitude of the traveling waves that contribute to the standing wave formed in the string.
The discussion is ongoing, with some participants providing insights into the wave equation and the nature of standing waves. There is a lack of consensus on how to proceed with the problem, and further clarification is being sought regarding specific terms and constants.
Participants express uncertainty about the definitions and relationships within the wave equation, particularly regarding the constants involved. The original poster has indicated a time constraint for submitting the homework.
what goes for y(x,t) and cos(wt) then?rl.bhat said: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.