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 |