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Solved: Two identical, uniform beams weighing 260 N each
Chapter 11, Problem 11.80(choose chapter or problem)
Two identical, uniform beams weighing 260 N each are connected at one end by a frictionless hinge. A light horizontal crossbar attached at the midpoints of the beams maintains an angle of 53.0 between the beams. The beams are suspended from the ceiling by vertical wires such that they form a V, as shown in Fig. P11.80. (a) What force does the crossbar exert on each beam? (b) Is the crossbar under tension or compression? (c) What force (magnitude and direction) does the hinge at point A exert on each beam?
Questions & Answers
QUESTION:
Two identical, uniform beams weighing 260 N each are connected at one end by a frictionless hinge. A light horizontal crossbar attached at the midpoints of the beams maintains an angle of 53.0 between the beams. The beams are suspended from the ceiling by vertical wires such that they form a V, as shown in Fig. P11.80. (a) What force does the crossbar exert on each beam? (b) Is the crossbar under tension or compression? (c) What force (magnitude and direction) does the hinge at point A exert on each beam?
ANSWER:Step 1 of 4
(a) The tension in each wire is equal the magnitude of weight,
The system is at equilibrium, so the torque is given by,
That is,