0:00
Flexible stick.
00:01
We have a flexible stick that is oscillating.
00:03
And we want to know essentially what the harmonics look like this and what the wavelengths look like.
00:10
And so recall that when we had string, when we had standing waves on a string and the fixed, the ends were fixed, we had waves that looked like this, et cetera.
00:23
But this isn't what we have here.
00:25
The ends aren't fixed.
00:26
When you have free ends, then what we have are the ends are anti -nodes.
00:41
So for fixed ends, the ends are nodes.
00:44
And the number of the harmonic is the number of antinodes.
00:47
But for free ends, the ends are anti -nodes, and the number of nodes is equal to the harmonic n, which is different than what we had for the fixed ends.
01:00
So if we want to sketch out the harmonic, the first harmonic is going to look like this.
01:05
It's going to have one node and two anti -nodes.
01:08
And so it's going to be oscillating between that shape and this shape over and over.
01:12
The second harmonic, like this.
01:15
Let's see, one...