00:01
All right, so let's say we have a meter stick that can pivot about the endpoint like this, and it has a mass of one kilogram, and so we want to know what's the period of small oscillations for this meter stick.
00:16
So we'll have the moment of inertia of a stick like this is one -third ml squared.
00:22
And so we'll have the angular, the moment of inertia times the angular acceleration, which is theta -double dot, should equal like the torque on it, which is acting about the midpoint.
00:33
So let's call this theta, angle theta.
00:35
This is like negative mgl over 2 times theta for small angles.
00:41
And so we'll have theta double dot plus what we'll call omega squared theta is equal to zero.
00:48
And we can see omega squared is going to be mgl over 2i.
00:55
All right.
00:56
And so if we write this out more explicitly, this is mgl over 2i...