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Difficulty: EasyLoad Distribution and Balancing

Two technicians, Technician X and Technician Y, are carrying a heavy transmission using a horizontal lifting bar. Technician X holds the left end of the bar and Technician Y holds the right end. The transmission is secured to the bar much closer to Technician X than to Technician Y. Which of the following statements correctly describes how the weight is distributed between them?

  1. Technician X supports a greater portion of the weight than Technician Y.Answer
  2. B
    Technician Y supports a greater portion of the weight than Technician X.
  3. C
    Both technicians support exactly equal portions of the weight.
  4. D
    Technician Y supports a greater portion of the weight due to the mechanical advantage of the longer bar section.

Answer

Technician X supports a greater portion of the weight than Technician Y.
In load balancing, the support that is physically closer to the center of gravity of the load carries a proportionally larger share of the weight. Because the transmission is secured closer to Technician X, Technician X must exert more upward force to maintain equilibrium.

Step-by-Step Solution

1
Identify the locations of the two supports and the applied load.
The supports are at each end of the bar (Technician X and Technician Y), and the load (the transmission) is located closer to Technician X.
Understanding the physical arrangement is necessary to analyze the forces.
2
Apply the general rule of load distribution for offset weights.
When a weight is placed between two supports but off-center, the support closest to the weight carries a proportionally larger share of the total load.
This is derived from the principles of static equilibrium and rotational moments; a shorter lever arm from the load requires a greater supporting force.
3
Conclude which technician bears more weight based on their proximity to the load.
Since the transmission is closer to Technician X, Technician X bears a greater portion of the load.
The weight distribution is inversely proportional to the distance from the load to the support.

Key Concept

In a system with two supports, an offset load distributes its weight unevenly, with the support closest to the load's center of gravity bearing the larger portion of the weight.
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Topics

Load Distribution and Balancing

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