20-1. The propeller of an airplane is rotating at a constant speed w, i, while the plane is undergoing a turn at a constant rate w. Determine the angular acceleration of the propeller if (a) the turn is horizontal, i.e., w,k, and (b) the turn is vertical, downward, i.e., w, j.

The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 6.5 m/s², v = 2.3 m/s, b = 0.4 m, 0 = 40°. Answers: VA = i+ i j) m/s i + i j) m/s² ag = i (i

The outer radius of the spool is R = 0.65 m and the radius of the inner hub is r = 0.35 m. Determine the magnitude of the acceleration of point A if ao = {(0.4)i} m/s?, vo = {(1)i} m/s and the spool rolls without slipping. The answers are given in m/s?. Note that O and A are at the same height. A R

The cord, which is wrapped around the disk, is given an acceleration of a=(12t)m/s2, where t is in seconds A) Starting from rest, determine the angular displacement of the disk, measured clockwise, when  t  = 3  s   B) Starting from rest, determine the angular velocity of the disk, measured clockwise, when  t  = 3  s   C) Starting from rest, determine the angular acceleration of the disk, measured clockwise, when  t  = 3  s  .