(a) Write the expression for y as a function of x and t in SI units for a sinusoidal wave traveling along a rope in the negative x direction with the following characteristics: A = 5.00 cm, λ = 75.0 cm, f = 5.00 Hz, and y(0, t) = 0 at t = 0. (Use the following as necessary: x and t.)

Question

(b) Write the expression for y as a function of x and t for the wave in part (a) assuming y(x, 0) = 0 at the point x = 50.0 cm. (Use the following as necessary: x and t.)

Answer 1

for the second part, out in a phase angle

.05 sin[(2pi/.75)(x+.375t) -PHI]

(2pi/.75)(0.50) -PHI = 0
PHI = 2 pi (.5/.75)