A physical pendulum, consisting of a uniform rod (of mass M and length L) with an attached blob, can oscillate about an axis that goes through one end of the rod. The mass of the blob is also M. The distance of the blob to the rotation axis is x.
The aim is to derive a formula for the period T of small-amplitude oscillation versus the distance x.
Small-amplitude oscillation: T = 2∏√(I/Mgd)
The Attempt at a Solution
At first I didn't even know what formula to begin with. So I asked my lecturer and he told me that I have to use the formula for small-amplitude oscillation; which would be T = 2pi srt(I/Mgd).
I guess, finding the center of mass of the physical pendulum is the hardest part for me. Now I really have no idea how to relate everything and derive the formula.