Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_20

7/20 The crane has a boom of length \(OP = 24 \text{ m}\) and is revolving about the vertical axis at the constant rate of \(2 \text{ rev/min}\) in the direction shown. Simultaneously, the boom is being lowered at the constant rate \(\dot{\beta} = 0.10 \text{ rad/s}\). Calculate the magnitudes of the velocity and acceleration of the end \(P\) of the boom for the instant when it passes the position \(\beta = 30^\circ\).