Thornton & Marion (5th Edition), Chapter 01, Problem 02 Solution

Thornton & Marion, Classical Dynamics, 5th Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 02. Trigonometric properties of direction cosines Solution For Equation (1.10): Proof) Using Figure 1-4 (a) in the book, let the length of a point P on the line from the origin be , then   Therefore, it becomes   For…

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

Thornton & Marion, Classical Dynamics, 5th Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 01. The transformation matrix Solution The direction cosines can be determined using the definition of Equation (1.3). Therefore, the transformation matrix is