q 3. A taxiing airplane turns about its vertical axis K, with an angular velocity p...

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q 3. A taxiing airplane turns about its vertical axis K, with an angular velocity p while its propeller spins at an angular velocity about the roll axis I. Determine the components of the angular momentum vector of the propeller with respect to the inertial about point O. Express your result using body frame unit vectors I, J, K. Assume the propeller to be located at a distance d from O on the i, axis, to have a mass m, and to have a mass moment of inertia matrix about point C with respect to the propeller frame of: Iprop/P 1xx 0 0 000 001 [Hint: find the transformation matrix from frame P to frame B and use the parallel axis theorem to find the mass moment of inertia with respect to the B frame.] (12 points) q 3. A taxiing airplane turns about its vertical axis K, with an angular velocity p while its propeller spins at an angular velocity about the roll axis I. Determine the components of the angular momentum vector of the propeller with respect to the inertial about point O. Express your result using body frame unit vectors I, J, K. Assume the propeller to be located at a distance d from O on the i, axis, to have a mass m, and to have a mass moment of inertia matrix about point C with respect to the propeller frame of: Iprop/P 1xx 0 0 000 001 [Hint: find the transformation matrix from frame P to frame B and use the parallel axis theorem to find the mass moment of inertia with respect to the B frame.] (12 points)