The dynamics of a particle governed by the Lagrangian L=\frac{1}{2}m{\hat{x}}^{2}- \frac{1}{2}k{x}^{2}- kx\hat{x}t describes

Lagrangian and Hamiltonian — CSIR Net PYQ (Question 3)

A Lagrangian and Hamiltonian previous-year question (PYQ) from Classical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 3 of 25 · 3.5 marks

The dynamics of a particle governed by the Lagrangian

L = \frac{1}{2} m \overset{x}{^}^{2} - \frac{1}{2} k x^{2} - k x \overset{x}{^} t

describes

1an undamped simple harmonic oscillator
2a damped harmonic oscillator with a time varying damping factor
3an undamped harmonic oscillator with a time dependent frequency
4a free particle

Correct answer: Option 4

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