00:01
All right, so let's say we have a frequency generator generating waves by alternating the tension in the string, and the length of the vibrating section of the string is 2 .3 meters.
00:12
It has a linear mass density of 0 .002 kilograms per meter.
00:18
And standing waves appear only for our values of m, which are 9 kilograms and 16 kilograms.
00:25
So we're going to know what's the frequency of the generator then.
00:27
Well, the frequency is going to be like the order of the harmonic corresponding to a particular mass, divided by twice the length of the string, and then times the speed of the string, which is going to be the tension over the linear mass density.
00:46
And so what we should have then is like, sorry, n times the square root.
00:52
The tension, hopefully, is clear, is just equal to the weight of whatever object mass we have.
00:57
So we'll have n times m1 is equal to n plus 1 times m2.
01:03
And so if we kind of rearrange things like this, we'll have n plus 1 over n as equal to the square root of m over m2.
01:13
Let me just double check...