A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.

How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?

A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?

A string with a linear mass density of 0.0075 kg/m and a length of 6.00 m is set into the n=4 mode of resonance by driving with a frequency of 100.00 Hz. What is the tension in the string?

Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?

To increase the intensity of a wave by a factor of 50, by what factor should the amplitude be increased?

Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)

(3) A harmonica makes sounds when a reed inside of it vibrates back and forth. We can consider this to the same as a string with mass 16.5g that is fixed at both ends. The reed is experiencing 639N of tension. (a) This particular harmonica is in the key of D# and it can emit as a fundamental frequency f = 311.13H z. What is the length of the reed? (b) What is the n = (c) A person decides to produce the fundamental frequency on the harmonica in a room 20°C while rolling around in their favorite chair at 8.19m/s. They hear the echo of their playing off the wall that they are moving away from. What is the frequency of the echo heard by the harmonica player? (d) When an observer is 6.79m away from the harmonica player, the sound intensity level is 86.6dB. What is the sound intensity level of the music when the observer is 41.6m away from the harmonica player? 3 harmonic for this reed? at T

(II) A guitar string is 92 cm long and has a mass of 3.4 g.The distance from the bridge to the support post is l= 62cm and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones?