Solved: At the instant u = 60, the construction lift is

Chapter 20, Problem 20-40

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At the instant \(\theta = 60^{\circ}\), the construction lift is rotating about the z axis with an angular velocity of \(\omega_{1} = 0.5 \ rad/s\) and an angular acceleration of \(\dot{\omega}_{1}=0.25 \ \mathrm{rad} / \mathrm{s}^{2}\) while the telescopic boom AB rotates about the pin at A with an angular velocity of \(\omega_{2} = 0.25 \ rad/s\) and angular acceleration of \(\dot{\omega}_{2}=0.1 \ \mathrm{rad} / \mathrm{s}^{2}\). Simultaneously, the boom is extending with a velocity of 1.5 ft/s, and it has an acceleration of \(0.5 \ ft/s^{2}\), both measured relative to the frame. Determine the velocity and acceleration of point B located at the end of the boom at this instant.