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A thin rod is initially coincident with the Z-axis when it is given three rotations defined by the Euler angles 4> = 30. 0 =

 A thin rod is initially coincident with the Z-axis when it is given three rotations defined by the Euler angles 4> = 30. 0 = 45. and / = 60. If these rotations are given in the order stated, determine the coordinate direction angles a, (3. y of the axis of the rod with respect to the X. Y. and Z axes. Are these directions the same for any order of the rotations? Why?

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