Solution Found!
Answer: You open a restaurant and hope to entice customers
Chapter 11, Problem 51P(choose chapter or problem)
You open a restaurant and hope to entice customers by hanging out a sign (Fig. P11.51). The uniform horizontal beam supporting the sign is \(1.50 \mathrm{~m}\) long, has a mass of \(12.0 \mathrm{~kg}\), and is hinged to the wall. The sign itself is uniform with a mass of \(28.0 \mathrm{~kg}\) and overall length of \(1.20 \mathrm{~m}\). The two wires supporting the sign are each \(32.0 \mathrm{~cm}\) long, are \(90.0 \mathrm{~cm}\) apart, and are equally spaced from the middle of the sign. The cable supporting the beam is \(2.00 \mathrm{~m}\) long. (a) What minimum tension must your cable be able to support without having your sign come crashing down? (b) What minimum vertical force must the hinge be able to support without pulling out of the wall?
Equation Transcription:
Text Transcription:
1.50 m
12.0 kg
28.0 kg
1.20 m
32.0 cm
90.0 cm
2.00 m
Questions & Answers
QUESTION:
You open a restaurant and hope to entice customers by hanging out a sign (Fig. P11.51). The uniform horizontal beam supporting the sign is \(1.50 \mathrm{~m}\) long, has a mass of \(12.0 \mathrm{~kg}\), and is hinged to the wall. The sign itself is uniform with a mass of \(28.0 \mathrm{~kg}\) and overall length of \(1.20 \mathrm{~m}\). The two wires supporting the sign are each \(32.0 \mathrm{~cm}\) long, are \(90.0 \mathrm{~cm}\) apart, and are equally spaced from the middle of the sign. The cable supporting the beam is \(2.00 \mathrm{~m}\) long. (a) What minimum tension must your cable be able to support without having your sign come crashing down? (b) What minimum vertical force must the hinge be able to support without pulling out of the wall?
Equation Transcription:
Text Transcription:
1.50 m
12.0 kg
28.0 kg
1.20 m
32.0 cm
90.0 cm
2.00 m
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:
