| A string of length L=0.800 m is fixed at both ends. It oscillates in a four-loop standing wave pattern at a frequency f, = 560 Hz . The mass of the string is m = 2.39 g . 1. a. What is the wavelength of the four-loop pattern (the 4th harmonic), 4 , for this string? b. What is the wave speed, v, on the string? c. What is the tension, t for this string? d. What frequency, f,, is needed to excite the first harmonic? e. Sketch the envelope of oscillations for the 4th harmonic only (the shape of the wave function when cos(@t) =1 and when cos(@ t) =-1) and label the nodes (with the letter N) and antinodes (with the letter A) on your sketch.

| A string of length L=0.800 m is fixed at both ends. It oscillates in a four-loop standing wave pattern at a frequency f, = 560 Hz . The mass of the string is m = 2.39 g . 1. a. What is the wavelength of the four-loop pattern (the 4th harmonic), 4 , for this string? b. What is the wave speed, v, on the string? c. What is the tension, t for this string? d. What frequency, f,, is needed to excite the first harmonic? e. Sketch the envelope of oscillations for the 4th harmonic only (the shape of the wave function when cos(@t) =1 and when cos(@ t) =-1) and label the nodes (with the letter N) and antinodes (with the letter A) on your sketch.