(2) Find the equation of motion for the system with one degree of freedom described by the following discreteLagrangian:L(On, On+1) = = sin² (0+1 = 0 ) - € sin² (0+1 +e in ² (On+ 1 + ºn).

As per the question we are given the Lagrangian for a discrete dynamic system, and we have to find…

Answered: (2) Find the equation of motion for the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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2. The position vector of a particle is given by r(t)= (2 cos t sin t)i +(cos^2 t - sin^2 t)j + (3t)k If the particle begins its motion at t = 0 and ends at t = pi, find the difference between the length of the path traveled and the distance between start position and end position

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(2) Find the equation of motion for the system with one degree of freedom described by the following discrete Lagrangian: L(On, On+1)= = - n(n+ n)-