Thornton & Marion (5th Edition), Chapter 01, Problem 19 Solution

Thornton & Marion, Classical Dynamics (5th Edition) Chapter 1. Matrices, Vectors, and Vector Calculus Problem 19. Vector Algebra The problem asks you to derive Angle transformation formulae using vector algebra. You should know about Basic concept of a vector algebra Law of cosines Pythagorean trigonometric identity Solution (a)   From the law of cosines, (b)…

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

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 10. Differentiation of a vector The problem asks you to calculate vector derivatives to get velocity and acceleration of a particle. The problem gives position vector of a particle in a plain elliptical orbit. We should know about calculation of…