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Use the wave equation to find the speed of a wave given in terms of the general function h(x, t): y(x, t) = (4.13 mm)h[(33
Use the wave equation to find the speed of a wave given in terms of the general function h(x, t): y(x, t) = (4.13 mm)h[(33 m-1)x - (6.4s-1)t].For a certain transverse standing wave on a long string, an antinode is at x = 0 and an adjacent node is at x = 0.50 m. The displacement y(t} of the string particle at x = 0 is shown in the gure, where the scale ofthe yaxis is set by ys = 4.0 cm. When t = 0.50 5, what is the displacement of the string particle at {a} x = 0.20 m and {b} x = 0.40 m ? What is the transverse velocity of the string particle at x = 0.20 m at {c} t = 0.50 s and {d} t = 1.2 s
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