Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_107

7/107 Each of the three identical and equally spaced propeller blades has a moment of inertia \( I \) about the propeller \( z \)-axis. In addition to the angular velocity \( p = \dot{\phi} \) of the propeller about the \( z \)-axis, the airplane is turning to the left at the angular rate \( \Omega \). Derive expressions for the \( x \)- and \( y \)-components of the bending moment \( M \) applied to the propeller shaft at the hub as functions of \( \phi \). Axes \( x \)-\( y \) rotate with the propeller.