& 0.6667 \end{array}\right] At the given configuration, the body has an instantaneous angular velocity defined by the vector \omega=\left[\begin{array}{lll} 110 & 90 & 0 \end{array}\right]^{T} \frac{\mathrm{rad}}{\mathrm{s}} . \text { Find the time derivatives of the Euler angles. }
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