You injure your back at work lifting a 420-N radiator. To understand how it happened, you model your back as a weightless beam (the figure below), analogous to the backbone of a person in a bent position when lifting an object. (Figure 1)

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Determine the tension force that the horizontal cable exerts on the beam(which is analogous to the force the back muscle exerts on the backbone). Determine the magnitude of the force that the wall exerts on the beam in the hinge(which is analogous to the force that a disk in the lower back exerts on the backbone).
Title: Understanding Back Injury Mechanisms

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You injure your back at work lifting a 420-N radiator. To understand how it happened, you model your back as a weightless beam, analogous to the backbone of a person in a bent position when lifting an object.

**Figure Explanation:**

1. **Diagram (a): Beam Model**
   - The diagram models the back as a weightless beam.
   - The beam makes a 15-degree angle with a reference line.
   - The beam's length is labeled as 0.90 meters.
   - A 420-N force is applied at the end of this beam, representing the weight being lifted.
   - The pivot point, where the beam is supported, is shown at the base of the angle.

2. **Diagram (b): Human Model**
   - An illustration of a person bending over, holding a weight.
   - The person's posture resembles the mechanical model in diagram (a), highlighting the stress on the lower back.
   - The back is shown curved, with the weight situated at the front, illustrating poor lifting posture which could result in injury.

This visualization helps in analyzing the forces acting on the spine and the potential hazards of incorrect lifting techniques. Proper techniques can prevent injury by distributing forces more effectively across the body.
Transcribed Image Text:Title: Understanding Back Injury Mechanisms --- You injure your back at work lifting a 420-N radiator. To understand how it happened, you model your back as a weightless beam, analogous to the backbone of a person in a bent position when lifting an object. **Figure Explanation:** 1. **Diagram (a): Beam Model** - The diagram models the back as a weightless beam. - The beam makes a 15-degree angle with a reference line. - The beam's length is labeled as 0.90 meters. - A 420-N force is applied at the end of this beam, representing the weight being lifted. - The pivot point, where the beam is supported, is shown at the base of the angle. 2. **Diagram (b): Human Model** - An illustration of a person bending over, holding a weight. - The person's posture resembles the mechanical model in diagram (a), highlighting the stress on the lower back. - The back is shown curved, with the weight situated at the front, illustrating poor lifting posture which could result in injury. This visualization helps in analyzing the forces acting on the spine and the potential hazards of incorrect lifting techniques. Proper techniques can prevent injury by distributing forces more effectively across the body.
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