According to the principle of superposition, the wave resulting from the composition of waves D1, D2 and D3 (all transverse) and propagating in a string of length L, fixed at both ends, will have the following characteristics: D:(x,t) = A sen (kx – wt – 2n) D2(x,t) = A cos (kx – wt – T/2) - D3(x,t) = 2A sen (kx + wt + 41) select the correct alternative: 1. A stationary wave with four times the amplitude of D1 2. A stationary wave with the same amplitude as D1

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a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?

A standing wave has the following wave-function: y(x,t) = 0.2 sin(TIX) cos(12Ttt), where x and y are in meters, and t is in seconds. If the length of the string is L = 2 m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is: O n= 3 O n= 6 O n = 5 n = 2 n = 4 A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y,max) = 2t m/s. The amplitude A of each of the individual waves producina the standing wave is: