Repeat the experiment of Prob. 7/1 but use a small angle of rotation, say, 5°. Note the...

Repeat the experiment of Prob. 7/1 but use a small angle of rotation, say, 5°. Note the near-equal final positions for the two different rotation sequences. What does this observation lead you to conclude for the combination of infinitesimal rotations and for the time derivatives of angular quantities? Reconcile your observations with Fig. 7/5.