Consider the folowing (a) What is the mechanical advantage of a wheelbarrow, such as the one shown in the figure, if the center of gravity of the wheelbarrow and its lead has a perpendicular lever arm of 6.70 cm, while the handies have a perpendicular lever arm of 1.06 m? (b) What upward force must you exert to support the wheelbarrow and its load if their combined mass is 57.5 ko? (e) what force does the wheel exert on the ground7 (Indicate the direction with the sign of your answer. Assume the positive direction points upmard.)

Consider the folowing (a) What is the mechanical advantage of a wheelbarrow, such as the one shown in the figure, if the center of gravity of the wheelbarrow and its lead has a perpendicular lever arm of 6.70 cm, while the handies have a perpendicular lever arm of 1.06 m? (b) What upward force must you exert to support the wheelbarrow and its load if their combined mass is 57.5 ko? (e) what force does the wheel exert on the ground7 (Indicate the direction with the sign of your answer. Assume the positive direction points upmard.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

Question

### Understanding the Mechanics of a Wheelbarrow

Consider the following scenario:

![Diagram of a wheelbarrow](imageURL)

**Description of the Diagram:**
The diagram shows a wheelbarrow with a load. It indicates two key measurements:
- The center of gravity of the wheelbarrow and its load has a perpendicular lever arm of 67.0 cm.
- The handles of the wheelbarrow have a perpendicular lever arm of 1.06 m.

**Questions to Consider:**

1. **Mechanical Advantage Calculation:**
a) What is the mechanical advantage of a wheelbarrow, such as the one shown in the figure, if the center of gravity of the wheelbarrow and its load has a perpendicular lever arm of 67.0 cm, while the handles have a perpendicular lever arm of 1.06 m?

2. **Upward Force Requirement:**
b) What upward force must you exert to support the wheelbarrow and its load if their combined mass is 57.5 kg?

3. **Force Exerted by the Wheel on the Ground:**
c) What force does the wheel exert on the ground? (Indicate the direction with the sign of your answer. Assume the positive direction points upward.)

### Explanation of the Diagram and Calculations:

The diagram shows a wheelbarrow where the pivot point is at the wheel. The weight \( W \) acts downward at the center of gravity, and the applied force \( F \) acts upward at the handles.

To start with, understanding the mechanical advantage (MA) of the wheelbarrow involves the ratio of the length of the handle's lever arm to the length of the load's lever arm:

\[ MA = \frac{\text{Handle Lever Arm}}{\text{Load Lever Arm}} = \frac{1.06 \text{ m}}{0.67 \text{ m}} \]

For the required upward force to support the wheelbarrow and its load, consider using the lever principle and equilibrium conditions.

Lastly, the force exerted by the wheel on the ground combines the effects of the weight of the wheelbarrow and the load and the applied support force. By balancing forces and moments, you can determine this force accurately.

This framework will guide you through understanding the physics behind operating a wheelbarrow efficiently.

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