The boom OAB pivots about point O, while sectionAB simultaneously extends from within

Chapter 2, Problem 2/137

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The boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: \(\theta=20^{\circ}, \dot{\theta}=5 \mathrm{deg} / \mathrm{sec}, \ddot{\theta}=2 \mathrm{deg} / \mathrm{sec}^2, l=7 \mathrm{ft}\), \(\dot{l}=1.5 \mathrm{ft} / \mathrm{sec}, \ddot{i}=-4 \mathrm{ft} / \mathrm{sec}^2\). The quantities \(\dot{l}\) and \(\ddot{l}\) are the first and second time derivatives, respectively, of the length l of section AB.

                                                       

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