(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The wave function for a standing wave on a string is described by y(x, t) = 0.022 sin 4πx cos 54πt, where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions.

x=0.1m, 0.25m, 0.3m, 0.5m

Find Ymax and Vmax at these points on the string.

2. Relevant equations

A_{n}(x)=A_{n}sink_{n}x (Amplitude of a string vibrating in its nth node)

Wave equation for a standing wave in the nth harmonic motion: y_{n}(x,t) = A_{n}sin(k_{n}x)cos(w_{n}t+δ_{n})

Kind of unsure on the equations for this problem.

3. The attempt at a solution

I assumed the maximum displacement would occur at t=0 when the cosine part of the equation equalled one. I plugged in the x values for the different points and solved for y, but did not get the correct answer. Read the entire chapter of the book and it is pretty vague and gives no example problems on calculating max displacement and max velocity like this

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# Homework Help: Wave on a string question

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