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You open a restaurant and hope to entice customers by
Chapter 5, Problem 51P(choose chapter or problem)
You open a restaurant and hope to entice customers by hanging out a sign (below Fig.). The uniform horizontal beam supporting the sign is 1.50 m long, has a mass of 12.0 kg, and is hinged to the wall. The sign itself is uniform with a mass of 28.0 kg and overall length of 1.20 m. The two wires supporting the sign are each 32.0 cm long, are 90.0 cm apart, and are equally spaced from the middle of the sign. The cable supporting the beam is 2.00 m long. (a) What minimum tension must your cable be able to support without having your sign come crashing clown? (b) What minimum vertical force must the hinge be able to support without pulling out of the wall? Figure:
Questions & Answers
QUESTION:
You open a restaurant and hope to entice customers by hanging out a sign (below Fig.). The uniform horizontal beam supporting the sign is 1.50 m long, has a mass of 12.0 kg, and is hinged to the wall. The sign itself is uniform with a mass of 28.0 kg and overall length of 1.20 m. The two wires supporting the sign are each 32.0 cm long, are 90.0 cm apart, and are equally spaced from the middle of the sign. The cable supporting the beam is 2.00 m long. (a) What minimum tension must your cable be able to support without having your sign come crashing clown? (b) What minimum vertical force must the hinge be able to support without pulling out of the wall? Figure:
ANSWER:Solution to 51P Step 1 of 4 Introduction The sign board is supported by two wires which are connected to a horizontal beam. The beam is supported by a hinge and a cable attached to the wall. We need to find the tension in the cable and the force applied at the hinge. We have to draw the free body diagram and equate the moments at both ends of the hinge. Figure: