Classical Mechanics - Rotational Motion

The matrix shown above transforms the components of a vector in one coordinate frame S to the components of the same vector in a second coordinates frame S'. This matrix represents a rotation of the reference frame S by

A. 30^o clockwise about the x-axis
B. 30^o counterclockwise about the z-axis
C. 45^o clockwise about the z-axis
D. 60^o clockwise about the y-axis
E. 60^o counterclockwise about the z-axis

(GR0177 #75)

Solution:

Rotation about z-axis has the form:



Since    and    E is the right answer.

Answer: E