### Educational Analysis of a Crane Collapse Scenario#### Problem Description:An accident occurred at a local warehouse due to a jib crane collapse which resulted in a worker injury. The focus of this analysis is to determine the cause of the collapse using the displayed schematic of the crane system.#### System Details:- **Horizontal Beam:** Steel beam with a mass of 80.00 kg/m.- **Cable Tension:** \( T = 12690 \, \text{N} \).- **Crane Maximum Load Rating:** 500 kg.- Dimensions: - \( d = 5.870 \, \text{m} \) - \( s = 0.522 \, \text{m} \) - \( x = 1.600 \, \text{m} \) - \( h = 1.980 \, \text{m} \)- **Acceleration due to Gravity:** \( g = 9.810 \, \text{m/s}^2 \).#### Questions:1. Calculate the magnitude of \( W_L \) (the load on the crane) before the collapse. \[ W_L = \underline{\hspace{2cm}} \, \text{N} \]2. Determine the magnitude of force \( F_p \) at the attachment point \( P \). \[ F_p = \underline{\hspace{2cm}} \, \text{N} \]#### Diagram Explanation:- **Diagram Overview:** The diagram displays a side view of the crane setup. The crane beam is horizontal, supported by a vertical pole at point \( P \), with a cable creating an angle \( \theta \) that supports the beam and the load \( W_L \).- **Components:** - **Beam:** Extends horizontally with length \( d \). - **Cable:** Connects the outer end of the beam to the vertical pole, forming an angle \( \theta \). - **Load \( W_L \):** Suspended at a distance \( x \) from the vertical pole. - **Attachment Lever Arm:** The load \( W_L \) is located at a distance \( s \), the effective extension from the beam's outermost point.This scenario serves as a practical application in physics and engineering courses to analyze mechanical failures and understand load distribution in crane systems. Students are encouraged to

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After an unfortunate accident occurred at a local warehouse, you were contracted to determine the cause. A jib crane collapsed and injured a worker. An image of this type of crane is shown in the figure.The horizontal steel beam had a mass of 80.00 kg per meter of length, and the tension in the cable was T = 12690 N. The crane was rated for a maximum load of P 500 kg. If d = 5.870 m, s = 0.522 m, x = 1.600 m, and h = 1.980 m, what was the magnitude of W (the load on the crane) before the collapse? The acceleration due to gravity is g = 9.810 m/s². WL Wi = What was the magnitude of force Fp at the attachment point P? Fp = N

After an unfortunate accident occurred at a local warehouse, you were contracted to determine the cause. A jib crane collapsed and injured a worker. An image of this type of crane is shown in the figure.The horizontal steel beam had a mass of 80.00 kg per meter of length, and the tension in the cable was T = 12690 N. The crane was rated for a maximum load of P 500 kg. If d = 5.870 m, s = 0.522 m, x = 1.600 m, and h = 1.980 m, what was the magnitude of W (the load on the crane) before the collapse? The acceleration due to gravity is g = 9.810 m/s². WL Wi = What was the magnitude of force Fp at the attachment point P? Fp = N

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

### Educational Analysis of a Crane Collapse Scenario

#### Problem Description:
An accident occurred at a local warehouse due to a jib crane collapse which resulted in a worker injury. The focus of this analysis is to determine the cause of the collapse using the displayed schematic of the crane system.

#### System Details:
- **Horizontal Beam:** Steel beam with a mass of 80.00 kg/m.
- **Cable Tension:** \( T = 12690 \, \text{N} \).
- **Crane Maximum Load Rating:** 500 kg.
- Dimensions:
- \( d = 5.870 \, \text{m} \)
- \( s = 0.522 \, \text{m} \)
- \( x = 1.600 \, \text{m} \)
- \( h = 1.980 \, \text{m} \)
- **Acceleration due to Gravity:** \( g = 9.810 \, \text{m/s}^2 \).

#### Questions:
1. Calculate the magnitude of \( W_L \) (the load on the crane) before the collapse.

\[
W_L = \underline{\hspace{2cm}} \, \text{N}
\]

2. Determine the magnitude of force \( F_p \) at the attachment point \( P \).

\[
F_p = \underline{\hspace{2cm}} \, \text{N}
\]

#### Diagram Explanation:
- **Diagram Overview:** The diagram displays a side view of the crane setup. The crane beam is horizontal, supported by a vertical pole at point \( P \), with a cable creating an angle \( \theta \) that supports the beam and the load \( W_L \).
- **Components:**
- **Beam:** Extends horizontally with length \( d \).
- **Cable:** Connects the outer end of the beam to the vertical pole, forming an angle \( \theta \).
- **Load \( W_L \):** Suspended at a distance \( x \) from the vertical pole.
- **Attachment Lever Arm:** The load \( W_L \) is located at a distance \( s \), the effective extension from the beam's outermost point.

This scenario serves as a practical application in physics and engineering courses to analyze mechanical failures and understand load distribution in crane systems. Students are encouraged to

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