[2019CM/QUIZ-01]

                                              Classical Mechanics               May 22, 2019   

Quiz-I

A a pendulum having a bob of mass \(m\) is attached to a mass \(M\) by a string of length \(\ell\) passing through a linear slit parallel to \(X\) axis. The mass \(M\) is kept on a frictionless table and is free to move along the \(X\) axis.

• Choose \(x\) and \(\theta\) as generalized coordinates and write Lagrangian for the two systems in figures below.
• For each system state if it will have a zero frequency of oscillations or not. Give a short explanation for your explanation.