Answered: ωx = ˙θ cos φ + ψ˙ sin θ sin φ ωy = ˙θ… | bartleby

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Show that the components of the angular velocity along the space set of
axes are given in terms of the Euler angles by
ω_x = ˙θ cos φ + ψ˙ sin θ sin φ
ω_y = ˙θ sin φ − ψ˙ sin θ cos φ
ω_z = ψ˙cos θ + φ˙

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