Two Questions on Oscillation: Normal Modes and Natural Frequencies

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A simple pendulum and a mass oscillating on a spring each have one normal mode of oscillation, characterized by simple harmonic motion. This means there is a specific frequency at which they oscillate most effectively, similar to a person swinging at an optimal rate. In contrast, systems like musical strings and wind instruments can exhibit multiple normal modes due to their more complex structures. Understanding these concepts is essential in the study of oscillatory systems. Overall, both the pendulum and spring demonstrate fundamental principles of harmonic motion.
CalculusIsBette
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I have been pondering these two questions for a while:

How many normal modes of oscillation or natural frquencies does each of the following have:

1. A simple pendulum

2. a mass oscillating on a spring

:confused:

Thanks!


CIB
 
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Just one each.

Claude.
 
Yes, what claude said. They each have one, in other words, simple harmonic motion. Think of it like a person on a swing: we all know there is that one rate of swinging that is just right. If you tried to swing any faster or slower, you just wouldn't get that much amplitude.

Some things with many normal-mode frequencies: musical strings, any wind instruments...
 

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