et q1, ..., qn be a set of independent generalized coordinates for a system of n degrees of freedom, with a Lagrangian L(q, q˙, t). Suppose we transform to another set of independent coordinates s1, s2, ..., sn by means of transformation equations qi = qi(s1, ..., sn, t), i = 1, ..., n Show that if the Lagrangian function is expressed as a function of sj, s˙j, and t through the equations of transformation, then L satisfies Lagrange’s

et q1, ..., qn be a set of independent generalized coordinates for a system of n degrees of freedom, with a Lagrangian L(q, q˙, t). Suppose we transform to another set of independent coordinates s1, s2, ..., sn by means of transformation equations qi = qi(s1, ..., sn, t), i = 1, ..., n Show that if the Lagrangian function is expressed as a function of sj, s˙j, and t through the equations of transformation, then L satisfies Lagrange’s

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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