Question

Problem A long string is fixed at one end and a standing wave is generated with a mechanical oscillator attached at one end. The opposite end of the string can be considered as a node, and treat it as the x = 0 point. The distance between adjacent nodes on the string is 20.0 cm, and an antinode oscillates with a period of 0.659 s and an amplitude of 0.550 cm. (a) Find the displacement of a point on the string as a function of position and time (that is, find y(x,t)). (b) Find the speed of a transverse wave in the string. (c) Find the amplitude of motion for a point 4.00 cm from an antinode. Pay close attention to significant figures on this.
0 0
Add a comment Improve this question Transcribed image text
Answer #1

At χ=o , y(n, t)-o Distance between adjacent roda (%) = 20 cm , amplitude A = 0.550 cm、 angular speed (w) = 2: 9.534 rad/sec

Add a comment
Know the answer?
Add Answer to:
Problem A long string is fixed at one end and a standing wave is generated with...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at...

    Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the +x-axis and is fixed at x = 0. (a) How far apart are the adjacent nodes? (b) What are the wavelength, amplitude, and speed of the two traveling waves that form this pattern? (c) Find the maximum and minimum transverse speeds of a point...

  • Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at...

    Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and period 0.100 s. The string lies along the +x-axis and its left end is fixed at x = 0. The string is 70.0 cm long. At time t = 0, the first antinode is at maximum positive displacement. a. Is the right end of the string fixed or free? Explain. b. Sketch...

  • For a certain transverse standing wave on a long string, an antinode is at x -0...

    For a certain transverse standing wave on a long string, an antinode is at x -0 and an adjacent node is atx0.30 m. The displacement y(t) of the string particle at x0 is shown in the figure, where the scale of the y axis is set by ys = 4.4 cm, when t = 0.50 s, what is the displacement of the string particle at (a) x = 0.50 m and (b) x = 0.40 m ? what is the...

  • A 5.15-m-long string that is fixed at one end and attached to a long string of...

    A 5.15-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 396 Hz. The amplitude of the motion at each antinode is 3.09 cm. (a) What is the wavelength of this wave? (b) What is the wave number? m-1 (c) What is the angular frequency? (d) Write the wave function for this standing wave. (Use the following as...

  • A 5.45-m-long string that is fixed at one end and attached to a long string of...

    A 5.45-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 392 Hz. The amplitude of emotici at each antinode is 2.38 cm. (a) What is te wavelength of this wave? As - (b) What the wae number? ks (c) Wt is the ngular frequency? (d) Write the wave function for this standing wave. (Use the following as...

  • A standing transverse wave is formed on a tightly stretched string. The distance between a node...

    A standing transverse wave is formed on a tightly stretched string. The distance between a node and an adjacent antinode is: (A) 1/8 wavelength (B) 1/4 wavelength (C) 1/2 wavelength (D)1 wavelength (E) unable to be determined without more information. answer is B need illustrate, please draw a picture to me thanks.

  • D Question 7 1 pts How many nodes and antinodes are shown in the standing wave...

    D Question 7 1 pts How many nodes and antinodes are shown in the standing wave below? one-third node and one antinode two nodes and three antinodes one node and two antinodes three nodes and two antinodes Question 8 1 pts A mass-spring system oscillates with an amplitude of 9.8 cm. If the force constant of the spring of 397 N/m and the mass is 0.67 kg, what is the magnitude of the maximum acceleration of the mass in m/s2?...

  • To practice Problem-Solving Strategy 15.1 Mechanical Waves. Waves on a string are described by the following...

    To practice Problem-Solving Strategy 15.1 Mechanical Waves. Waves on a string are described by the following general equation y(x,t)=Acos(kx−ωt). A transverse wave on a string is traveling in the +x direction with a wave speed of 7.50 m/s , an amplitude of 9.00×10−2 m , and a wavelength of 0.550 m . At time t=0, the x=0 end of the string has its maximum upward displacement. Find the transverse displacement y of a particle at x = 1.40 m and...

  • Problem 3: Vibrating string A thin 2m long string with mass 3g is stretched with a...

    Problem 3: Vibrating string A thin 2m long string with mass 3g is stretched with a tension 90N between two ends. When it vibrates with the third harmonic the amplitude of the string at an antinode A of the standing wave on the string has an amplitude of 5 cm a) What is the speed of propagation of waves in the string? b) What is the maximum transverse speed of this point A on a string? c) What is the...

  • Problem 3: Vibrating string A thin 2 m long string with mass 3g is stretched with...

    Problem 3: Vibrating string A thin 2 m long string with mass 3g is stretched with a tension 90N between two ends. When it vibrates with the third harmonic the amplitude of the string at an antinode A of the standing wave on the string has an amplitude of 5 cm a) What is the speed of propagation of waves in the string? b) What is the maximum transverse speed of this point A on a string? c) What is...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT