Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_21

7/21 If the angular velocity \(\omega_0 = -4\mathbf{j} - 3\mathbf{k}\) rad/s of the rotor in Prob. 7/4 is constant in magnitude, determine the angular acceleration \(\boldsymbol{\alpha}\) of the rotor for (a) \(\Omega = 0\) and \(\dot{\theta} = 2\) rad/s (both constant) and (b) \(\theta = \tan^{-1}(3/4)\) and \(\Omega = 2\) rad/s (both constant). Find the magnitude of the acceleration of point \(A\) in each case, where \(A\) has the position vector \(\mathbf{r} = 0.5\mathbf{i} + 1.2\mathbf{j} + 1.1\mathbf{k}\) m at the instant represented.