Thornton & Marion (5th Edition), Chapter 01, Problem 10 Solution

Thornton & Marion, Classical Dynamics, 5th Edition

Chapter 1. Matrices, Vectors, and Vector Calculus

Problem 10. Differentiation of a vector

The problem asks you to

  • calculate vector derivatives to get the velocity and acceleration of a particle.

The problem gives

  • position vector of a particle in a plain elliptical orbit.

\bold{r} = 2b \sin \omega t \bold{i} + b \cos \omega t \bold{j}

We should know about

  • calculation of vector derivatives.

Solution

 

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