These two waves travel along the same string: Y1 = (3.79 mm) sin(1.75TX - 440zt) Y2 = (5.82 mm) sin(1.75Tx - 440zt + 0.861Arad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.14 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave?

A transverse wave pulse on a string has the wavefunction phi (x,t) = 0.250 m^3 / 2.00m^2 + [x-(5.00 m/s)t]^2. a) what is the speed of the pulse? b) on the same plot, graph the waveform of the pulse at the instants when t=0s, 1.00s, and 2.00s to show that the pulse is moving toward increasing values of x at the speed you found in part (a). Let the domain of your graph be x= -10.0m to 20.0m. c) what is the maximum value of the disturbance? d) if you change the wavefunction to phi (x,t) = 0.250 m^3/ 2.00 m^2 + [x +(5.00 m/s)t]^2 show with another series of plots of the waveform when t=0 s, 1.00s, and 2s that the pulse is moving toward decreasing values of x. Let the domain of this plot be x= -20.0m to 10.0m.

Two sinusoidal waves of the same frequency travel in the same direction along a string. If Ym1 = 4.1 cm, Ym2 = 3.9 cm, P₁ = 0, and ₂ = π/3 rad, what is the 42 amplitude of the resultant wave? Number i Units <

Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 4.2 cm, ym2 = 6.2 cm, φ1 = 0, and φ2 = π/2 rad, what is the amplitude of the resultant wave?

O y_1 (x,t)=1mm sin(2rx-20Ttt) and y_2 (x,t)=1mm sin(2rx+20rtt) A sinusoidal transverse wave has a wavelength of 2.8 m. It takes 0.2 s for an element of the string at a position x to move from the maximum position of ymax = 0.03 m to the equilibrium position y 0. What is the period of the wave, T, and the wave speed, v? 0.4 sec; 7 m/s O 0.8 sec; 14 m/s O 0.8 sec; 3.5 m/s 0.4 sec; 28 m/s A taut string fixed at both ends is driven by an oscillator at a constant frequency of 100 Hz. The amplitude

Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 2 cm sin(4πx-60πt+π/3). The amplitude of the individual waves generating this wave is: 2/√3 cm 2 cm 8 cm 4/√3 cm 4 cm

The equation of a transverse wave traveling on a string is given by y = A sin(kx - wt). Data: A=11 mm, k=35 rad/m, w= 500 rad/s. 1) What is the amplitude? 2) What is the frequency? 3) What is the wave velocity? 4) What is the wavelength? 5) For the same wave, find the maximum transverse speed of a particle in the string.

Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(26.0 mm)sin(8.58πt - 1.64πx) and y2=(37.0 mm)sin(3.63πt + 0.536πx). Note that the phase angles (8.58πt - 1.64πx) and (3.63πt + 0.536πx) are in radians, t is in seconds, and x is in meters. At t = 5.00 s, what is the net displacement (in mm) of the string at (a) x = 2.19 m and (b) x = 2.71 m? Be sure to include the algebraic sign (+ or -) with your answers.

These two waves travel along the same string: Y₁ = (3.61 mm) sin(2.03πx - 380лt) Y2 = (5.73 mm) sin(2.03лx - 380πt +0.818лrad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.32 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave? (a) Number i (b) Number (c) Number Units Units Units

Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(21.0 mm)sin(6.70πt - 1.16πx) and y2=(39.0 mm)sin(3.70πt + 0.211πx). Note that the phase angles (6.70πt - 1.16πx) and (3.70πt + 0.211πx) are in radians, t is in seconds, and x is in meters. At t = 2.10 s, what is the net displacement (in mm) of the string at (a) x = 2.25 m and (b) x = 2.54 m? Be sure to include the algebraic sign (+ or -) with your answers.