Consider a particle of mass (m) moving in two dimensions in the (x-y) plane, constrained to a

Question:

Consider a particle of mass \(m\) moving in two dimensions in the \(x-y\) plane, constrained to a rail-track whose shape is described by an arbitrary function \(y=f(x)\). There is no gravity acting on the particle.

(a) Write the Lagrangian in terms of the \(x\) degree of freedom only.

(b) Consider some general transformation of the form

image text in transcribed

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

Question Posted: