Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_14

7/14 Determine the angular acceleration \(\alpha\) of the dumbbell of Prob. 7/13 for the conditions stated, except that \(\Omega\) is increasing at the rate of 3 rad/s² for the instant under consideration. Data from Prob. 7/13: In manipulating the dumbbell, the jaws of the robotic device have an angular velocity \(\omega_p = 2 \text{ rad/s}\) about the axis \(OG\) with \(\gamma\) fixed at \(60^\circ\). The entire assembly rotates about the vertical \(Z\)-axis at the constant rate \(\Omega = 0.8 \text{ rad/s}\). Express the results in terms of the given orientation of axes \(x-y-z\), where the \(y\)-axis is parallel to the \(Y\)-axis.