For a particular transverse wave that travels along a string that lies on the x-axis, the equation of motion is: y = (0.0600 m) cos (45.0 rad/s)t − (0.400 m−1)x .Calculate the displacement (in other words, the y-value) of a point at x = 1.00 m when t = 2.00 s. .
For a particular transverse wave that travels along a string that lies on the x-axis, the...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...
The equation of a transverse wave traveling along a string is y = (0.11 m)sin[(0.78 rad/m)x - (14 rad/s)t] (a) What is the displacement y at x = 2.6 m, t = 0.27 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t) = ymsin(kx + ωt), what are (b) ym, (c) k, and (d) ω (e) the...
The equation of a transverse wave traveling along a string is y = (0.21 m)sin[(0.71 rad/m)x - (13 rad/s)t] (a) What is the displacement y at x = 3.5 m, t = 0.14 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t) = ymsin(kx + ωt), what are (b) ym, (c) k, and (d) ω (e) the...
A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for the vertical displacement y is given by y(x,t) = Asin(kx-wt), where A is the amplitude of the wave is much smaller than the wavelength, an individual particle in the string has constant horizontal displacement x but oscillates in the y-direction. The maximum speed of the particle in the y-direction is... Aw A^2w Aw^2 w/k k/w
A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure below shows a plot of the displacement as a function of position at time t = 0. The x axis is marked in increments of 10 cm and the y axis is marked in increments of 2 cm. The string tension is 3.1 N, and its linear density is 34 g/m. (a) Find the amplitude. m (b) Find the wavelength. m...
The equation of a transverse wave traveling along a string is y (0.24 m)sin[(0.87 rad/m)x (14 rad/s)t] (a) what is the displacement y at x ? 3.5 m, t 0.17 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t)-ymsin(kx + at), what are (b) ym, (c) k, and (d) ? (e) the correct choice of sign in...
A transverse sinusoidal wave on a string has a period T-17.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 3.50 m/s. (a) What is the amplitude of the wave? 2.9 Your response differs significantly from the correct answer. Rework your solution from the beginning and check...
A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 87 m/s. At t=0, the string particle at x = has a transverse displacement of 4.2 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = is 17 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If the wave equation...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.3 N, and its linear density is 44 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave, (e) Find the maximum transverse speed of a particle in the...
The equation of a transverse wave traveling along a string is y = 0.419 sin(0.265x - 18.90), in which x and y are in meters and t is in seconds. (a) What is the displacement y at x = 6.36 m, t = 0.582 s? (Hint: Displacement is a vector quantity. Pay attention to the sign.) -.0442 m(b) Choose an equation of a wave that, when added to the given one, would produce standing waves on the string. O V'(x,t)...