A standing wave on a string has nodes at x = 0 cm, x = n cm, x = 2n cm, and x = 3n cm, where n is a natural number. Which of the following is the wavelength of the travelling waves that combine to make this standing wave?
a)1/2 n cm
b)n cm
c)2n cm
d)4n cm
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 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...
An electromagnet is used to create the standing wave pattern shown below. The string of 6 grams and a length of 150 cm. The tension in the string is created by the 250 gram hanging a) Determine the wavelength lambda of the travelling waves. b) Determine the speed of the travelling waves. c) Determine the frequency f and period of the travelling waves.
6. A distance of 5.00 cm is measured between two adjacent nodes of a standing wave on a 20.0-cm-long string. harmonic number n is the string vibrating? (b) Find the fre- (a) In which quency of this harmonic if the string has a mass of 1.75 X 10 kg and a tension of 875 N
A distance of 8.00 cm is measured between two adjacent nodes of a standing wave on a 32.0 cm long string. a) In which harmonic number n is the string vibrating? b0 Find the frequency (In Hz) of this harmonic if the string has a mass of 2.05 x 10-2 kg and a tension of 855 N. (give answer in Hz)
A 32 cm long violin string is pulled tight with a force of 40 N. The string has a mass of 5 x 10-4 kg/m. (A) How fast do waves travel along this string? (B) If the frequency of a certain standing wave (which is NOT the fundamental) on this string is 1320 Hz, what is its wavelength? (C) If this wave in part B is a standing wave on the violin string, draw the pattern of nodes and antinodes.
The displacement of a standing wave on a string is given by D=2.6sin(0.70x)cos(44t), where x and D are in centimeters and t is in seconds. Answer in 4 sig figs! A) What is the distance (cm) between nodes? B) Give the amplitude of each of the component waves. C) Give the frequency of each of the component waves. D) Give the speed of each of the component waves. E) Find the speed of a particle of the string at x=2.70cm...
14. The distance between the third and eighth nodes in a standing wave pattern is 60 cm, as shown in the diagram below. --- 18 cm---- ão a) What is the wavelength of the waves producing this pattern? 2 marks b) If the source generating these waves has a frequency of 25 Hz, what is the wave speed? 2 marks
Consider the 4th harmonic (standing wave with n = 4) on a string of length L with fixed ends, mass density μ and tension T .a) On a standing wave, the nodes are the points that are not moving, and the antinodes the ones that move with the biggest amplitude. How many nodes and antinodes are on the 4th harmonic? Count them and make a graph of the function clearly showing where all the nodes and antinodes are located. b)...
TW6 traveling waves in opposite directions produce a standing wave. The individual wave functions are: Th6 traveling waves in opposite diretions produce a standing wave. The individual wave 4. y,-(4.0 cm) sin (3.0-2.00 y,-(4.0 cm) sin (3.0x + 2.00 where x and y are measured in centimeters. (a) Find the amplitude of the simple harmonic motion of the element of the medium located at x 2.3 cm. (b) Find the positions of the first three nodes and antinodes if one...