Consider a mechanical wave traveling along the x-axis: A) For a transverse trave

Question

Consider a mechanical wave traveling along the x-axis:

A) For a transverse traveling wave on a stretched string, what is the relationship, if any, between the transverse speed of a particle in the string and the speed of the wave Explain.


B) What are the physical meanings of the two sides of the wave equation:

2 y(x,t)              2 y(x,t)
---------    =   v2    ----------------
    t2                     t2

as applied to transverse waves on a stretched string?  What does it mean if a wave function “satisfies” the wave equation?  What are the physical requirements on a wave so that the wave function of the wave satisfies the wave equation?

C) Given:

y(x,t)              y(x,t)
--------- =  -vx  ----------------
    t                    x

What does vx stand for? What are the physical meanings of the left-hand-side and right-hand-side of this equation? Using these answers, describe in words the physical meaning of the expression as a whole, as applied to transverse waves on a stretched string.    

I appreciate the help, thanks!

Explanation / Answer

not sure about what u asked... but check out this http://physics.about.com/od/mathematics/a/wavemechanics.htm it may help

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