In: Physics
A wave travels along a tight rope in the positive direction of
the x-axis. Its wavelength is 40 cm and its velocity of propagation
along the rope is 80 m/s. The amplitude of the wave is 0.60 cm. In
t = 0 the point of the string at x = 0 is at the point of maximum
oscillation amplitude, y = +A.
a)Write the wave equation in the sine form [y = A sin(kx ± ωt + φ)
], identifying each parameter numerically.
b) What oscillation velocity on the y-axis has the point of the
chord at x = 0 at the instant t = 0.0010 s?
c) If the linear density of the rope is 12 g/m, what is the tension
in the rope?