Question

A string 1.2 m long is vibrating in its fifth harmonic. How far is the 1st...

A string 1.2 m long is vibrating in its fifth harmonic. How far is the 1st node away from the fourth node?

Homework Answers

Answer #1

Use the properties of the standing waves with both ends fixed to find the required distance between the first and the fourth node as shown below

***********************************************************************************************
This concludes the answers. If there is any mistake or omission, let me know in the comments immediately and I will fix it....

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A string with both ends held fixed is vibrating in its third harmonic. The waves have...
A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 193 m/s and a frequency of 215 Hz . The amplitude of the standing wave at an antinode is 0.390 cm . Part A Calculate the amplitude at point on the string a distance of 17.0 cm from the left-hand end of the string. (m) Part B How much time does it take the string to go from its largest upward...
A string with both ends held fixed is vibrating in its third harmonic. The waves have...
A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 193 m/s and a frequency of 235 Hz. The amplitude of the standing wave at an antinode is 0.380 cm. a)Calculate the amplitude at point on the string a distance of 16.0 cm from the left-hand end of the string. b)How much time does it take the string to go from its largest upward displacement to its largest downward displacement at...
A 4.70-m-long string that is fixed at one end and attached to a long string of...
A 4.70-m-long string that is fixed at one end and attached to a long string of negligible mass at the other end is vibrating in its fifth harmonic, which has a frequency of 428 Hz. The amplitude of the motion at each antinode is 2.82 cm. (a) What is the wavelength of this wave? ?5 =  m (b) What is the wave number? k5 =  m?1 (c) What is the angular frequency? ?5 =  s?1 (d) Write the wave function for this standing...
a. A guitar string is vibrating with a wave having a wavelength of 1.6 m. This...
a. A guitar string is vibrating with a wave having a wavelength of 1.6 m. This string has a linear mass density of 20 g/m. If the tension holding the string is 7500 N, what is the frequency pitch of the sound produced? Answer in 2 decimal places, and units assumed in Hz. b. Echolocation is a technique used by some animals such as bats, whales and dolphins to assess their surroundings without using vision. A whale gets too far...
A 2.0-m-long string vibrates at its second-harmonic frequency with a maximum amplitude of 1.3 cm ....
A 2.0-m-long string vibrates at its second-harmonic frequency with a maximum amplitude of 1.3 cm . One end of the string is at x =0cm Find the oscillation amplitude at x =10cm. Find the oscillation amplitude at x =20cm. Find the oscillation amplitude at x =30cm. Find the oscillation amplitude at x =40cm. Find the oscillation amplitude at x =50cm
7). An organ pipe, closed at one end, is vibrating in its first overtone (second harmonic),...
7). An organ pipe, closed at one end, is vibrating in its first overtone (second harmonic), has length 61cm. A second organ pipe, open at both ends, is vibrating in its fundamental mode (first harmonic), has length 41cm. What are the frequencies of the tones from each?
Consider an oscillating string in which the wavelength of the fifth mode is λ meter. 5...
Consider an oscillating string in which the wavelength of the fifth mode is λ meter. 5 = 6 a) Fill in the blank. Each end of the oscillating string is a ____. b) Draw the string oscillating in its fifth mode. c) From your diagram, how many wavelengths of this fifth mode fit into the unknown length, L, of the oscillating string? d) Since the wavelength of the fifth mode is given as equal 6 meters, what must be the...
A uniform string of length l, linear density m, and tension T is vibrating with amplitude...
A uniform string of length l, linear density m, and tension T is vibrating with amplitude a in its an th mode. Find its total energy of oscillation. The displacement of the string is given by y = an sinπnx l cos(2πνt + φ)
A cello string vibrates in its fundamental mode with a frequency of 159 1/s. The vibrating...
A cello string vibrates in its fundamental mode with a frequency of 159 1/s. The vibrating segment is 32.2 cm long and has a mass of 0.69 g. Find the tension in the string. Answer in units of N. Find the frequency of the string when it vibrates in eight segments. Answer in units of 1/s
a) Strings on a full-scale violin are 32 centimeters long. The third harmonic of the fourth...
a) Strings on a full-scale violin are 32 centimeters long. The third harmonic of the fourth string vibrates at a frequency of 1320 Hz. What is the wavelength of the vibration of the string in this third-harmonic mode? (Hint: draw a sketch) b) What is the fundamental frequency of this tone? Show your work c) What is the speed of a wave on this string? Show your work d) The violinist firmly places a finger on the string 1/3 of...