Next: Orbital motion
Up: Oscillatory motion
Previous: Worked example 11.5: Gravity
Question: A uniform disk of radius
is freely suspended from a horizontal pivot located a radial distance
from its centre.
Find the angular frequency of small amplitude oscillations of the disk.
Answer: The moment of inertia of the disk about a perpendicular axis passing through its
. From the parallel axis theorem, the moment of inertia of the disk
about the pivot point is
The angular frequency of small amplitude oscillations of a compound pendulum is given by
Hence, the answer is