The wheels, axle, and handles of a wheelbarrow weigh W = 55 N. The load chamber and its contents weigh WL = 623 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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The wheels, axle, and handles of a wheelbarrow weigh W = 55 N. The load chamber and its contents weigh WL = 623 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 of a person using a wheelbarrow, illustrating different setups to demonstrate the concepts of force and weight distribution.

**Diagram (a):**

- A man is pushing a wheelbarrow.
- The load in the wheelbarrow is depicted with a downward arrow labeled \( W_L \).
- The distance from the wheel to the center of the load is 0.400 meters.
- Another distance is shown from the center of the load to the handles, which is 0.700 meters.
- A vertical upward arrow labeled \( F \) represents the force applied by the person on the wheelbarrow handles.

**Diagram (b):**

- Similarly, a man is pushing a wheelbarrow with a load.
- The downward arrow labeled \( W_L \) indicates the load in the wheelbarrow.
- The distance from the wheel to the center of the load is now 0.600 meters.
- The distance from the center of the load to the handles remains at 0.700 meters.
- The force \( F \) applied by the person is shown as an upward arrow, similar to diagram (a).

These diagrams help illustrate how the distribution of weight and application of force can affect the ease of using a wheelbarrow. Changing the position of the load alters the leverage required to lift and move the wheelbarrow.
Transcribed Image Text:The image shows two diagrams of a person using a wheelbarrow, illustrating different setups to demonstrate the concepts of force and weight distribution. **Diagram (a):** - A man is pushing a wheelbarrow. - The load in the wheelbarrow is depicted with a downward arrow labeled \( W_L \). - The distance from the wheel to the center of the load is 0.400 meters. - Another distance is shown from the center of the load to the handles, which is 0.700 meters. - A vertical upward arrow labeled \( F \) represents the force applied by the person on the wheelbarrow handles. **Diagram (b):** - Similarly, a man is pushing a wheelbarrow with a load. - The downward arrow labeled \( W_L \) indicates the load in the wheelbarrow. - The distance from the wheel to the center of the load is now 0.600 meters. - The distance from the center of the load to the handles remains at 0.700 meters. - The force \( F \) applied by the person is shown as an upward arrow, similar to diagram (a). These diagrams help illustrate how the distribution of weight and application of force can affect the ease of using a wheelbarrow. Changing the position of the load alters the leverage required to lift and move the wheelbarrow.
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