A thin rod is initially coincident with the Z axis when it is given three rotations defined by the Euler angles φ, θ, and ψ. If these rotations are given in the order stated, determine the coordinate direction angles α, β, γ 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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Given: Ø = 30 deg 8 = 45 deg V = 60 deg