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

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### 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
Transcribed Image Text:### 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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