-
Suppose you suspend a rod from the ceiling like this.
-
It's hanging there. If you give it a twist,
-
then it'll go twisting back and forth, like that.
-
That's also a simple harmonic motion,
-
except what's varying with time is not the linear coordinate,
-
but the angle θ by which the rod has been twisted.
-
What's the equation in this case?
-
The equation here is I·d^2 θ/dt^2.
-
You guys remember now, that's the analog of m·a?
-
That's going to be equal to the torque.
-
Now, what'll happen in the problems we consider
-
is that θ is a small number, and the torque will be