Supported from the ceiling by a ballandsocket joint is this

Supported from the ceiling by a ball-and-socket joint, is this rectangular box shown below. Commencing from the positoin shown, the box is given a rotation about the fixed X axis of 60 degrees, followed by a rotation about the fixed Z axis of -120 degrees. It is desired to determine a rotation about a single axis that is equivalent to the rotations specified. Determine the orientation of that axis and the angle of rotation about that axis.

Solution

The answer of following question is as follows.

The orientation for that axis is 8

The angle of rotation is 65 degree