You are given two frames ja and jb. the orientation of φ differs from that of ja by a 30° rotation about the x-axis of f. at this time, the angular velocity of with respect to ais ω'ba =[2 0 5' rad / sec. you are also given two vectors a and b, represented in ja and jb respectively as 0 a. find andb' and ω,a. b. when b is stationary in f, determine its velocity "b and problem 2 the propeller and crankshaft of a single-engine airplane have a combined moment of inertia of 45 slug-ft2 about the axis of rotation, and are rotating at 1500 rpm clockwise when viewed from in front. the moment of inertia of the aircraft, including the engine, are froll, pitch, yawl: f3000, 6700, 9000) slug-ft. ifthe airplane rolls at 100 deg/s, while pitching at 20 deg/s, determine the angular acceleration in yaw. assume: all inertias and angular rates are principal-body-axes components; the propeller spin-axis is along x, there are no external moments.