For a wave A sin ( kx - ωt) and a wave A sin ( kx + ωt) travelling opposite to each other, on evaluating by applying superposition principle , the resultant displacement function is 2A sin ( kx ) cos (ωt) . For different Node Anti-node configurations we calculate natural frequencies of the...
Homework Statement
A string (m = 1 kg) fixed at both ends is vibrating in its second harmonic mode. If the length of the string is 2 m and it feels 50 N of tension, which of the following is NOT a possible harmonic frequency for this string?
a) 1.25 Hz
b) 2.5 Hz
c) 5 Hz
d) 10 Hz
e) 20 Hz...
Homework Statement
1. Homework Statement [/B]
The displacement y of standing wave that is obtained by a superposition of waves :
Y1 = 3 sin (2##\pi##(0.5t - 0 25 x))
Y2 = 3 sin (2##\pi##(0.5t + 0 25 x))
Homework Equations
Formula for standing waves
Y = 2Asinkx coswt
The Attempt at a Solution...
1. The problem statement, all variables, and given/known data
So I'm doing an IB extended essay on the relationship between frequency and tension of a violin string. As you apply more tension to the string (using weights and pulley), the frequency will be higher, as shown below. There's not too...
Homework Statement
A second harmonic standing wave has the known quantities of Amplitude (max y at antinode) A, maximum velocity (y=0 at antinode) v, string length L, tension in the string T.
Given that we know that it is second harmonic, we can assume that λ = L
How can one determine the...
I have done an experiment where I vary the levels of water in a wineglass and record the frequencies it produces which differ depending on the height of the water.
Below you see 1 equation, apparently I can use this equation to mathematically prove my results from my experiment, (this equation...
Hello there,
I was wondering if the power profile of a single mode waveguide can be changed? I mean, a wave that travels through the waveguide will have a harmonic shape, right? Is it possible to get a different shape of the power profile?
Thank you :)