With the 300-lb cylindrical part P in its grip, the robotic arm pivots about O through

Chapter 2, Problem 2/185

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With the 300-lb cylindrical part P in its grip, the robotic arm pivots about O through the range \(-45^{\circ} \leq \theta \leq 45^{\circ}\) with the angle at A locked at \(120^{\circ}\). Determine and plot (as a function of \(\theta\) ) the moment at O due to the combined effects of the 300-lb part P, the 120 -lb weight of member OA (mass center at \(G_1\) ), and the 50-lb weight of member AB (mass center at \(G_2\) ). The end grip is included as a part of member AB. The lengths \(L_1\) and \(L_2\) are 3 ft and 2 ft, respectively. What is the maximum value of \(M_O\), and at what value of \(\theta\) does this maximum occur?

                                                         

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