About this Video
In this session, we do more standing wave problems. The focus is on the role of boundary conditions at the intersection of two continuous media with different physical characteristics.
View Full Video
View by Chapter
- The taut string fixed at both ends from the previous session is now replaced by two connected strings, each with a very different density. The lowest two normal modes are found by inspection. (0:19:04)
- A problem similar to the above, but this time the strings are replaced by rods which vibrate longitudinally and different boundary conditions are chosen. (0:18:14)
- Calculation of the normal modes of vibration of the air in a room. It is a standing wave problem in 3D. (0:15:36)
The taut string fixed at both ends from the previous session is now replaced by two connected strings, each with a very different density. The lowest two normal modes are found by inspection.
A problem similar to the above, but this time the strings are replaced by rods which vibrate longitudinally and different boundary conditions are chosen.
Calculation of the normal modes of vibration of the air in a room. It is a standing wave problem in 3D.
Related Problems
Related Lectures in 8.03 Physics III: Vibrations and Waves Course
- Lecture 7: Symmetry, Infinite Number of Coupled Oscillators
- Lecture 9: Wave Equation, Standing Waves, Fourier Series