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models:basic_models:pendulum [2018/05/15 06:51] jakobadmin [Intuitive] |
models:basic_models:pendulum [2018/06/28 10:41] jakobadmin [Concrete] |
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{{ :models:pendulumsimple.png?nolink&200|}} | {{ :models:pendulumsimple.png?nolink&200|}} | ||
- | A pendulum is right after a [[models:basic_models:harmonic_oscillator|harmonic oscillator]] the simplest physical system we can study. In fact, if the pendulum only swings a little it is a harmonic oscillator. The difference between the harmonic oscillator and the pendulum only become important for large swings. | + | |
A pendulum consists of a freely hanging massive bob at the end of a rod. When we move the bob a little to one side it starts swinging. | A pendulum consists of a freely hanging massive bob at the end of a rod. When we move the bob a little to one side it starts swinging. | ||
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An important observation is that the swinging of the pendulum does not depend on the <color blue>mass of the bob</color>. | An important observation is that the swinging of the pendulum does not depend on the <color blue>mass of the bob</color>. | ||
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+ | A pendulum is right after a [[models:basic_models:harmonic_oscillator|harmonic oscillator]] the simplest physical system we can study. In fact, if the pendulum only swings a little it is a harmonic oscillator. The difference between the harmonic oscillator and the pendulum only become important for large swings. | ||
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<tabbox Concrete> | <tabbox Concrete> | ||
{{ :models:pendulum.png?nolink&300|}} | {{ :models:pendulum.png?nolink&300|}} | ||
- | [[models:basic_models:harmonic_oscillator]] | + | |
A normal pendulum hangs freely in a uniform gravitational field of strength $g$ on a rod with length $l$. The excitation above the ground state is measured by the angle $\phi$. At the end of the pendulum, we have a bob of mass $m$. This is shown in the picture on the right-hand side. | A normal pendulum hangs freely in a uniform gravitational field of strength $g$ on a rod with length $l$. The excitation above the ground state is measured by the angle $\phi$. At the end of the pendulum, we have a bob of mass $m$. This is shown in the picture on the right-hand side. | ||