Lesson 2.5 - Hooke's Law and Simple Harmonic Oscillations
VIDEO LESSON (34:17 min)
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A linear restorative force yields a sinusoidal solution. We call this a simple harmonic oscillator.
We can approximate this restorative force between them as \( F=-kx \), with some kind of analog to the spring constant since there is an equilibrium position created by the atomic bond.
However, quantum mechanic effects make things a bit more complex.
What would happen if you jumped into it?
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CONSIDER A SPRING
HOOKE'S LAW
ENERGY IN A SPRING
From the work energy theorem, the energy stored in a extended or compressed spring is equal to the work done on the spring.ELASTIC ENERGY
WHAT DOES THIS RESTORATIVE FORCE DO TO A MASS ON A SPRING?
A linear restorative force yields a sinusoidal solution. We call this a simple harmonic oscillator.
SIMPLE HARMONIC MOTION
EXAMPLES
ATOMIC BONDS
Consider \( O_2 \). This is a diatomic molecule.We can approximate this restorative force between them as \( F=-kx \), with some kind of analog to the spring constant since there is an equilibrium position created by the atomic bond.
However, quantum mechanic effects make things a bit more complex.
GEDANKEN-EXPERIMENT
Consider a hole through the centre of the earth.What would happen if you jumped into it?
最后修改: 2025年05月18日 星期日 20:30