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 h 80.00 kg per meter of length, and the tension in the cable was T = 12170 N. The crane was rated for a maximum load of 500 kg. If d = 5.580 m, s = 0.522 m, x = 1.850 m, and h = 1.890 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. W Wi = N What was the magnitude of force Fp at the attachment point P? Fp N

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**Crane Collapse Analysis**

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 \( T = 12170 \, \text{N} \). The crane was rated for a maximum load of 500 kg. If \( d = 5.580 \, \text{m} \), \( s = 0.522 \, \text{m} \), \( x = 1.850 \, \text{m} \), and \( h = 1.890 \, \text{m} \), what was the magnitude of \( W_L \) (the load on the crane) before the collapse? The acceleration due to gravity is \( g = 9.810 \, \text{m/s}^2 \).

\[ W_L = \, \boxed{\phantom{placeholder}} \, \text{N} \]

**Figure Details:**
- A vertical post is depicted, with a horizontal beam extending perpendicularly from the midpoint.
- The beam is supported by a cable attached from the end of the beam to the top of the post, forming an angle \( \theta \).
- The load \( W_L \) is hanging from the far end of the beam.

**Distance Measurements:**
- \( d \) is the length of the horizontal beam.
- \( s \) is the distance from the attachment point of the cable to the vertical post.
- \( x \) is the distance from the vertical post to the load \( W_L \).
- \( h \) is the height from the bottom of the vertical post to the attachment point of the cable.

**Force Analysis:**
- Determine the magnitude of the force \( F_P \) at the attachment point \( P \).

\[ F_P = \, \boxed{\phantom{placeholder}} \, \text{N} \]
Transcribed Image Text:**Crane Collapse Analysis** 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 \( T = 12170 \, \text{N} \). The crane was rated for a maximum load of 500 kg. If \( d = 5.580 \, \text{m} \), \( s = 0.522 \, \text{m} \), \( x = 1.850 \, \text{m} \), and \( h = 1.890 \, \text{m} \), what was the magnitude of \( W_L \) (the load on the crane) before the collapse? The acceleration due to gravity is \( g = 9.810 \, \text{m/s}^2 \). \[ W_L = \, \boxed{\phantom{placeholder}} \, \text{N} \] **Figure Details:** - A vertical post is depicted, with a horizontal beam extending perpendicularly from the midpoint. - The beam is supported by a cable attached from the end of the beam to the top of the post, forming an angle \( \theta \). - The load \( W_L \) is hanging from the far end of the beam. **Distance Measurements:** - \( d \) is the length of the horizontal beam. - \( s \) is the distance from the attachment point of the cable to the vertical post. - \( x \) is the distance from the vertical post to the load \( W_L \). - \( h \) is the height from the bottom of the vertical post to the attachment point of the cable. **Force Analysis:** - Determine the magnitude of the force \( F_P \) at the attachment point \( P \). \[ F_P = \, \boxed{\phantom{placeholder}} \, \text{N} \]
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