Question 2: Linear Waves on a String A horizontal string with a linear mass density of u = 120% has a tension in it of 5N. The left-hand end of the string is vibrated at a frequency of 60 H z. The amplitude of the vibrations is 2cm. Write an equation for the transverse waves that propagates through the string to the right. (5 points) A = 0.02 m W = 2175 = 27160. = 377 = w K = 271 271 = 2094 K - 0. 003 5 0:02 C05 ( 209 4 x - 377t) = 0.2 . 2 = f 2 2 = 60x 5 = 0.003-2 Consider the same string as described above. The string is a length of 2m and fixed at both ends, while still being vibrated on the left-hand side. What are the wavelengths of the first three standing waves in the string? What tensions are required in the string for each of the standing waves? (12 points) L = A L = 2 m N= 120 F. = 5 First 21 = 1 2 = 2 ( 2 ) = 1 4 m Second L = 2 2 2 = ( 2m 4 in third 32 = L 2 :. 2 = 21 1. = 2(2) 4 3 3 m TV= IN -> T = V. 2 1 = 4 m 120 5 N = V. 120 15 = 0.2 at 60 H2 60 * 2 = 0.2 1 =