Solution Found!
Solved: Raising a Ladder. A ladder carried by a fire truck
Chapter 11, Problem 5E(choose chapter or problem)
Raising a Ladder. A ladder carried by a fire truck is \(20.0 \mathrm{~m}\) long. The ladder weighs \(2800 \mathrm{~N}\) and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Fig. E11.5); you can ignore the friction torque at the pin. The ladder is raised into position by a force applied by a hydraulic piston at C. Point C is \(8.0 \mathrm{~m}\) from A, and the force \(\bar{F}\) exerted by the piston makes an angle of \(40^{\circ}\) with the ladder. What magnitude must \(\bar{F}\) have to just lift the ladder off the support bracket at B? Start with a free-body diagram of the ladder.
Equation Transcription:
°
Text Transcription:
20.0 m
2800 N
8.0 m
bar F
40 degree
bar F
12.0 m
Vec F
Questions & Answers
QUESTION:
Raising a Ladder. A ladder carried by a fire truck is \(20.0 \mathrm{~m}\) long. The ladder weighs \(2800 \mathrm{~N}\) and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Fig. E11.5); you can ignore the friction torque at the pin. The ladder is raised into position by a force applied by a hydraulic piston at C. Point C is \(8.0 \mathrm{~m}\) from A, and the force \(\bar{F}\) exerted by the piston makes an angle of \(40^{\circ}\) with the ladder. What magnitude must \(\bar{F}\) have to just lift the ladder off the support bracket at B? Start with a free-body diagram of the ladder.
Equation Transcription:
°
Text Transcription:
20.0 m
2800 N
8.0 m
bar F
40 degree
bar F
12.0 m
Vec F
ANSWER:
Solution 5E
Step 1:
Length of the ladder L = 20 m
Weight of the ladder w = 2800 N (at center of gravity)
The angle between the piston and point where the force exerted = 40°
The distance between Point A and C d = 8.0 m