The basic features of a small backhoe are shown in the illustration. Member BE (complete

Chapter 3, Problem 3/123

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The basic features of a small backhoe are shown in the illustration. Member BE (complete with hydraulic cylinder CD and bucket-control links DF and DE) weighs 500 lb with mass center at \(G_1\). The bucket and its load of clay weigh 350 lb with mass center at \(G_2\). To disclose the operational design characteristics of the backhoe, determine and plot the force T in the hydraulic cylinder AB as a function of the angular position \(\theta\)  of member BE over the range \(0 \leq \theta \leq 90^{\circ}\). For what value of \(\theta\) is the force T equal to zero? Member OH is fixed for this exercise; note that its controlling hydraulic cylinder (hidden) extends from near point O to pin I. Similarly, the bucket-control hydraulic cylinder CD is held at a fixed length.

                                                           

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