Problem #9: A transverse wave on a string is modeled with the wave function y (x, t) = (0.20 cm)sin (2.00 m e- 3.00 s lt +) a) What are the wavelength and frequency of this wave? b) What is the speed of the wave? c) What is the height of the string with respect to the equilibrium position at a position x=3.00m and a time t=5.00s?

7) A string is tied at both ends. The linear density of the string is 9.2 gr/m. The length of the string is 120 cm. The speed of the wave is 42 m/sec. A standing wave is produced with an amplitude of 4 cm. The pattern produced is a 5th harmonic. a) What is the tension on the string? b) What is the amplitude of the traveling wave? c) What is the angular frequency of the wave? d) What is the wavelength of the wave pattern? e) What is the frequency of the wave pattern? f) At what distances are the nodes located? g) At what distances are the antinodes located? h) What is the constant of propagation? i) Write a function to describe the wave pattern

2. A very narrow slit of width a = 2.50µm is illuminated with light of wavelength 1 = 540.0 nm and a diffraction pattern is observed on a screen D=1.25 m from the slit. At the screen, how far from the optical axis, y2 , is the second minimum that appears on а. either side of the central maximum? b. At the screen, how far from the optical axis, ymax is the furthest minimum that appears on either side of the central maximum?

The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds.  Determine:  b.  the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection!

Two waves are traveling on the same string. The displacement of the first is given by y₁ = 0.0300 sin(400лt - 2лx) and of the second by y2 = 0.0300 sin (400лt - 2x + 44), with x and y in meters and t in seconds. What is the amplitude of the resultant wave? i m

What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6ñ m¯¹)x + (4ñ rad/s)t - n/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving?

The high E string on a guitar has a linear density of 3.09 x 10^-4 kg/m and the low E string has a linear density of 5.78 × 10^-3 kg/m. a) If the high E string is plucked, what is the velocity of the wave if the tension of the string is 56.40 N? b) For a wave to travel through the low E string at the same velocity, what would be the tension of the string?

Transverse waves traveling along a string have the following properties. Amplitude of the wave = : 2.40 mm Wavelength of the wave = 0.150 m Speed of the wave = 348 m/s Determine the time for a particle of the string to move through a total distance of 1.50 km. 4.0 67.3 S If the string is held under a tension of 1022 N, determine its linear density 4.0 118497 X g/m

A sinusoidal wave with wavelength 0.400 m travelsalong a string. The maximum transverse speed of a point onthe string is 3.00 m/s and the maximum transverse acceleration is8.50 * 104 m/s2. What are the propagation speed v and the amplitudeA of the wave?