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# Video Index for Lecture 30

Lecture 30 - Recorded on November 24, 1999

## Other Oscillating Systems

Video Lectures: (RM-80K) (RM-300K)

The simple harmonic oscillations (SHO) of suspended solid bodies are related to their geometry. The torsional pendulum oscillates in the horizontal plane; the SHO does NOT depend on the small angle approximation.

Lectures.
SEG # | SEGMENT TITLES | SEGMENT TOPICS | STARTS AT (MIN:SEC)
--- | --- | --- | ---
1 | SHO of a Physical Pendulum | The SHO equation of motion (small angle approximation) for a rigid body pendulum is derived from the torque equation about the point of suspension. The periods of oscillation are worked out for four different shapes (rod, hoop, disk and for a billiard ball hanging from a massless string). | 00:00
2 | SHO of a Liquid in a U-Tube | The SHO equation of motion for a liquid sloshing in a U-shaped tube is derived by taking the time derivative of the conservation of mechanical energy. The angular frequency and period are calculated and compared to empirical data. | 20:47
3 | Torsional Pendulum | The SHO equation of motion for a torsional pendulum is derived from the torque equation about the center of mass. The displacement angle is in the horizontal plane. The restoring torque is due to the twisted wire; no small angle approximations are required. The demo uses piano wire. | 32:28