The wheels, axle, and handles of a wheelbarrow weigh W = 58 N. The load chamber and its contents weigh WL = 580 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheelbarrow in equilibrium, the man’s hands apply a force to the handles that is directed vertically upward. Consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the man’s force for both designs.

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Chapter1: Units, Trigonometry. And Vectors
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The wheels, axle, and handles of a wheelbarrow weigh W = 58 N. The load chamber and its contents weigh WL = 580 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheelbarrow in equilibrium, the man’s hands apply a force to the handles that is directed vertically upward. Consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the man’s force for both designs.

 

The image shows two diagrams, each demonstrating a person lifting a wheelbarrow with different load placements. 

**Diagram (a):**

- The wheelbarrow is depicted with a point labeled "W" representing the weight of the load, situated 0.200 meters from the fulcrum (wheel).
- A force "F" is applied vertically upward at the handles, 0.700 meters from the fulcrum.
- The total distance from the load to the handles (fulcrum to handles) is 0.400 meters.

**Diagram (b):**

- The load "W" is shifted forward, now positioned 0.600 meters from the fulcrum.
- The force "F" applied at the handles remains the same, 0.700 meters from the fulcrum.

In both diagrams, the same force "F" is applied upward, indicating a comparison of leverage or effort required based on load placement within the wheelbarrow. By shifting the load closer to the fulcrum in diagram (a), the effort required to lift the wheelbarrow is different than in diagram (b), where the load is farther from the fulcrum. This illustrates the principle of levers, demonstrating how load distribution affects lifting effort.
Transcribed Image Text:The image shows two diagrams, each demonstrating a person lifting a wheelbarrow with different load placements. **Diagram (a):** - The wheelbarrow is depicted with a point labeled "W" representing the weight of the load, situated 0.200 meters from the fulcrum (wheel). - A force "F" is applied vertically upward at the handles, 0.700 meters from the fulcrum. - The total distance from the load to the handles (fulcrum to handles) is 0.400 meters. **Diagram (b):** - The load "W" is shifted forward, now positioned 0.600 meters from the fulcrum. - The force "F" applied at the handles remains the same, 0.700 meters from the fulcrum. In both diagrams, the same force "F" is applied upward, indicating a comparison of leverage or effort required based on load placement within the wheelbarrow. By shifting the load closer to the fulcrum in diagram (a), the effort required to lift the wheelbarrow is different than in diagram (b), where the load is farther from the fulcrum. This illustrates the principle of levers, demonstrating how load distribution affects lifting effort.
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