(a) Show that wave function of plane wave may be written as 2 77 λ y(x, t) = A cos -(x - vt) (b) Use y (x, t) to to find an expression for the transverse velocity vy of a particle in the string on which the wave travels. (c) Find the maximum speed of a particle of the string. Under what circumstances is this equal to the propagation speed v? Less than v? Greater than v?
(a) Show that wave function of plane wave may be written as 2 77 λ y(x, t) = A cos -(x - vt) (b) Use y (x, t) to to find an expression for the transverse velocity vy of a particle in the string on which the wave travels. (c) Find the maximum speed of a particle of the string. Under what circumstances is this equal to the propagation speed v? Less than v? Greater than v?
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(a) Show that wave function of plane wave may be written as
y(x, t) = A cos
2TT
λ
-(x – vt)
-
4
(b) Use y (x, t) to to find an expression for the transverse velocity v of a particle in the string on which the wave travels.
(c) Find the maximum speed of a particle of the string. Under what circumstances is this equal to the propagation speed v? Less than v? Greater than
V?
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