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models:basic_models:pendulum

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models:basic_models:pendulum [2018/06/28 10:41]
jakobadmin [Concrete]
models:basic_models:pendulum [2020/04/02 15:37] (current)
75.97.173.144
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 The [[formalisms:​lagrangian_formalism|Lagrangian]] of the pendulum is therefore The [[formalisms:​lagrangian_formalism|Lagrangian]] of the pendulum is therefore
  
-$$ L = T-V= \frac{1}{2} ml^2\dot{\phi}^2 - mgl (1-cos \phi), $$ +$$ L = T-U= \frac{1}{2} ml^2\dot{\theta}^2 - mgl (1-cos \theta), $$ 
-where $\dot{\phi}\equiv d\phi /dt $ denotes the time derivative. ​+where $\dot{\theta}\equiv d\theta /dt $ denotes the time derivative. ​
  
 Using the Euler-Lagrange equation we can derive the corresponding __equation of motion__ Using the Euler-Lagrange equation we can derive the corresponding __equation of motion__
models/basic_models/pendulum.txt · Last modified: 2020/04/02 15:37 by 75.97.173.144