A string of length L stretched and is subjected to a tension of T. The thickness of the string is not uniform, and therefore, its linear density varies according to: µ = µo + k x, where x is distance from the left side of the string, µo and k are constants. (µo is in units of kg/m, and k in units of kg/m-2). Determine how long does it take for a wave to travel from one end to the other end of the string.
Firslty find total mass .
Then find mass /length for the whole string.
Use the formula of speed for a wave and put all the required value.
A string of length L stretched and is subjected to a tension of T. The thickness...
A string is stretched to a tension of 100 N, and has a linear density of 0.025 kg/m. An input disturbance causing a sinusoidal wave has a frequency of 150 Hz, with an amplitude of 5 cm. Determine the speed of the wave. Determine the wavelength. Write down the equation describing the displacement of the string as a function of the position and time.
A very long string (linear density 0.4 kg/m ) is stretched with a tension of 70 N . One end of the string oscillates up and down with an amplitude of 5 cm and a period of 0.35 s . What is the wavelength of the waves created in the string? (answer in m/s)
Part A A very long string (linear density 0.6 kg/m) is stretched with a tension of 85 N . One end of the string oscillates up and down with an amplitude of 7 cm and a period of 0.35 S. What is the wavelength of the waves created in the string? TO ADD A A O 2 ? m/s
Problem 1 [8 pts] A uniform string of mass m and length L hangs vertically from the ceiling. (a) Find the tension in the rope as a function of distance from the lower end, and therefore determine the speed of a wave pulse as a function of position. (b) Solve by integration 2 = v(y) to determine the time it takes a wave pulse to travel the full length of the string.
By wiggling one end, a sinusoidal wave is made to travel along a stretched string that has a mass per unit length of 22.0 g/m. The wave may be described by the wave function y 0.20 sin (0.90x-42) where x and y are in meters and t s in seconds. 1. (a) Determine the speed of the wave. Is the wave moving in the +x direction or the -x direction? b) What is the tension in the stretched string? (c)...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...
10a. A string of length 1 m and linear density of 0.035 kg/m is stretched between 2 posts with a tension of 667 N. What is the frequency of the first 5 modes? Sketch these 5 modes. b. Now assume that you are plucking the string at a distance of 20 cm from one end. What will be the first four lowest harmonic frequencies? (Hint: You don't have to recalculate use the results from part a)
A string of length 2.83 m and linear mass density 0.500 g/m, and a string of length 3.09 m and linear mass density 0.242 g/m, are tied together and stretched to a tension of 150 N. How long, in seconds, will it take a transverse wave to travel the entire length of the two wires?
A very long string (linear density 0.7 kg/m ) is stretched with a tension of 85 N . One end of the string oscillates up and down with an amplitude of 7 cm and a period of 0.35 s . What is the wavelength of the waves created in the string?
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...