0:00
We have it.
00:01
We have a shaded circle and then cut out from it, cut out from the bigger circle with radius 2r is a, is a white circle.
00:19
So the shaded circle is the white circle has radius 1r.
00:26
And so the and so the shaded circle is generated by sh, white circle is denoted by w.
00:33
And so the center of mass of the whole system is at zero, of course.
00:37
And relative to that, the center of mass of the white part is at plus 0 .8r.
00:44
So what is the center of mass coordinate of the shaded circle, right? so the idea is actually pretty simple.
00:52
You first use the center of mass equation.
00:55
So center of mass of the system is just the, is mass of the shaded region times center of mass of the shaded region plus mass of the white region times the center of mass of the white region over the mass of the shaded region plus mass of the white region.
01:14
Now we know everything but this, center of mass of the shaded region.
01:20
So center of mass of the shaded region will just be, we'll rearrange this equation...