Solved: A nonuniform beam 4.50 m long and weighing 1.00 kN

Chapter 11, Problem 11.20

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A nonuniform beam 4.50 m long and weighing 1.00 kN makes an angle of below the horizontal. It is held in position by a frictionless pivot at its upper right end and by a cable 3.00 m farther down the beam and perpendicular to it (Fig. E11.20). The center of gravity of the beam is 2.00 m down the beam from the pivot. Lighting equipment exerts a 5.00-kN downward force on the lower left end of the beam. Find the tension T in the cable and the horizontal and vertical components of the force exerted on the beam by the pivot. Start by sketching a free-body diagram of the beam.

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