What force is exerted by each side on the hinge?

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Chapter1: Units, Trigonometry. And Vectors
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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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A sandwich board advertising sign is constructed as shown in Figure 5.39. Its mass is 8.40 kg.

What force is exerted by each side on the hinge?
 N (acting horizontally)

### Understanding the A-Frame Physics Problem

**Description**:
The diagram illustrates a classic physics problem involving an A-frame ladder. The A-frame is composed of two legs and a connecting piece of wood at the base.

- **Top view**: The diagram shows the A-frame from the side, highlighting essential lengths and angles.
  
- **Components**:
  - Two legs of the A-frame, each with a length of 2.50 m.
  - The angle at the top of the A-frame where the two legs meet is marked.
  - Each leg makes contact with the ground, creating a triangular shape with the base of wood.
  - There are hinges positioned halfway down each leg of the A-frame.
  - The distance between the feet of the A-frame legs at the base.

**Dimensions and Angles**:
- The total height from the tip of the A-frame to the base is 2.50 m.
- The length of the base where the A-frame meets the ground is 2.00 m.

**Key Elements**:
- **Weight Distribution**: The weight is evenly distributed between both legs.
- **Stability**: Hinges add stability to the structure by allowing movement at midway points.
- **Supports and Forces**:
  - The A-frame stands on a horizontal surface.
  - Forces act through the hinges and supports at the feet of the frame.
  
Understanding these elements can help in analyzing the forces, torques, and stability of the A-frame structure in classic physics problems involving statics and dynamics.
Transcribed Image Text:### Understanding the A-Frame Physics Problem **Description**: The diagram illustrates a classic physics problem involving an A-frame ladder. The A-frame is composed of two legs and a connecting piece of wood at the base. - **Top view**: The diagram shows the A-frame from the side, highlighting essential lengths and angles. - **Components**: - Two legs of the A-frame, each with a length of 2.50 m. - The angle at the top of the A-frame where the two legs meet is marked. - Each leg makes contact with the ground, creating a triangular shape with the base of wood. - There are hinges positioned halfway down each leg of the A-frame. - The distance between the feet of the A-frame legs at the base. **Dimensions and Angles**: - The total height from the tip of the A-frame to the base is 2.50 m. - The length of the base where the A-frame meets the ground is 2.00 m. **Key Elements**: - **Weight Distribution**: The weight is evenly distributed between both legs. - **Stability**: Hinges add stability to the structure by allowing movement at midway points. - **Supports and Forces**: - The A-frame stands on a horizontal surface. - Forces act through the hinges and supports at the feet of the frame. Understanding these elements can help in analyzing the forces, torques, and stability of the A-frame structure in classic physics problems involving statics and dynamics.
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