A string is fixed at both ends. The mass of the string is 0.0010 kg and the length is 2.4 m. The string is under a tension of 210 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequencies of the first four modes of standing waves. Express all wavelengths rounded to two decimal places and all frequencies rounded to one decimal place.
| λ1=____ m | λ2=___ m | λ3=_____ m | λ4=_____ m |
| f1=___ Hz | f2=___ Hz | f3=_____ Hz | f4=_____ Hz |
A string is fixed at both ends. The mass of the string is 0.0010 kg and...
A 2.8 m long wire having a mass of 0.14 kg is fixed at both ends and is under tension of 37 N. When the nth harmonic is excited, there is a node 0.56 m from one end. (a) What is n? n = (b) What are the frequencies of the first three allowed modes of vibration? f1 = Hz f2 = Hz f3 = Hz
A 33 m string has a linear mass density of 0.01 kg/m and is under a tension of 19 N. (a) Find the frequencies of the lowest four harmonics if the string is fixed at both ends. f1 = Hz f2 = Hz f3 = Hz f4 = Hz (b) Find the frequencies of the lowest four harmonics if the string is fixed at one end and attached to a long, thin, massless thread at the other end. f1 =...
A string fixed at both ends has successive resonances with wavelengths of 0.55 m for the nth harmonic and 0.53 m for the (n + 1)th harmonic. (a) What are the following values? nth harmonic (n + 1)th harmonic (b) What is the length of the string? m Use the fact that the resonance frequencies are multiples of the fundamental frequency and are expressible in terms of the speed of the waves and their wavelengths to find the harmonic numbers....
a 2.0 m length of string with a mass density of 2.95 x 10^-4
kg/m is fixed at both ends and driven at 120 Hz. The tension is
varied to obtain standing waves (resonance) on the string.
1. what is the longest wavelength for a standing wave possible
on the string?
2. the tension on the string is varies to obtain fourth
harmonic
a. what is the wavelength of this standing wave?
b. what is the wave speed
3. what...
A string that is fixed at both ends has a length of 2.01 m. When the string vibrates at a frequency of 87.1 Hz, a standing wave with six loops is formed. (a) What is the wavelength of the waves that travel on the string? m (b) What is the speed of the waves? m/s (c) What is the fundamental frequency of the string? Hz
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