Solution Found!
Answer: A 15,000-N crane pivots around a friction-free
Chapter 11, Problem 18E(choose chapter or problem)
A \(15.000-\mathrm{N}\) crane pivots around a friction-free axle at its base and is supported by a cable making a \(25^{\circ}\) angle with the crane (Fig. E11.18). The crane is \(16 \mathrm{~m}\) long and is not uniform, its center of gravity being \(7.0 \mathrm{~m}\) from the axle as measured along the crane. The cable is attached \(3.0 \mathrm{~m}\) from the upper end of the crane. When the crane is raised to \(55^{\circ}\) above the horizontal holding an \(11,000-\mathrm{N}\) pallet of bricks by a \(2.2-\mathrm{m}\), very light cord, find (a) the tension in the cable and (b) the horizontal and vertical components of the force that the axle exerts on the crane. Start with a free-body diagram of the crane.
Equation Transcription:
°
°
Text Transcription:
15,000-N
25\circ
16 m
7.0 m
3.0 m
55\circ
11,000-N
2.2-m
Questions & Answers
QUESTION:
A \(15.000-\mathrm{N}\) crane pivots around a friction-free axle at its base and is supported by a cable making a \(25^{\circ}\) angle with the crane (Fig. E11.18). The crane is \(16 \mathrm{~m}\) long and is not uniform, its center of gravity being \(7.0 \mathrm{~m}\) from the axle as measured along the crane. The cable is attached \(3.0 \mathrm{~m}\) from the upper end of the crane. When the crane is raised to \(55^{\circ}\) above the horizontal holding an \(11,000-\mathrm{N}\) pallet of bricks by a \(2.2-\mathrm{m}\), very light cord, find (a) the tension in the cable and (b) the horizontal and vertical components of the force that the axle exerts on the crane. Start with a free-body diagram of the crane.
Equation Transcription:
°
°
Text Transcription:
15,000-N
25\circ
16 m
7.0 m
3.0 m
55\circ
11,000-N
2.2-m
ANSWER:
Step 1 of 9
Identify:
For a rigid body to be in equilibrium, two conditions must be satisfied.
First, the vector sum of all the forces acting on the particles is zero.
A second condition for an extended body to be in equilibrium is that the body must have no tendency to rotate, this means that the sum of torques due to all the external forces acting on the body must be zero.