Calculate the magnitude of the force acting on the pin at D. Pin C is fixed in DE and bears against the smooth slot in the triangular plate. 220 N 90 mm B Answer: D = 115 mm- i 75 mm 80 mm N

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement:

Calculate the magnitude of the force acting on the pin at D. Pin C is fixed in DE and bears against the smooth slot in the triangular plate.

### Image Description and Analysis:

The diagram provided shows a triangular plate with four points labeled A, B, C, and D. Additionally, there is a point labeled E which is part of the vertical bar DE. Here’s a detailed description of the components and dimensions in the diagram:

- **Points and Dimensions:**
  - **A**: The bottom-left corner of the triangle, fixed to the ground.
  - **B**: The top-left corner of the triangle, where a force of 220 N is acting to the left.
  - **C**: The top-right corner of the triangle, fixed in DE.
  - **D**: The bottom-right corner of the triangle, also fixed to the ground.
  - **E**: The top of the vertical bar extending from point D.

- **Measurements:**
  - The horizontal distance between A and D (base of the triangle): 115 mm
  - The vertical distance from A to B: 90 mm
  - The vertical distance from C to E: 80 mm
  - The vertical distance from B to C: 75 mm

### Diagram Explanation:

- The triangular plate is oriented such that:
  - Segment AB is vertical.
  - Segment BC is horizontal.
  - Segment AD forms the hypotenuse with the horizontal and vertical distances provided.
- A force of 220 N is acting horizontally to the left on point B.
- Point C is attached to a vertical bar DE.
- Point D is where the magnitude of the force needs to be calculated.

### Calculation Requirement:

To solve this, we need to set up the equilibrium equations for the forces and moments acting on the triangular plate. Since the diagram shows a statically determinate system, applying these equations will help us determine the magnitude of the force at point D.

### Answer Submission:

Once the calculations are performed, enter the magnitude of the force in the provided answer box.

**Answer: D =** [Input Field] **N**
Transcribed Image Text:### Problem Statement: Calculate the magnitude of the force acting on the pin at D. Pin C is fixed in DE and bears against the smooth slot in the triangular plate. ### Image Description and Analysis: The diagram provided shows a triangular plate with four points labeled A, B, C, and D. Additionally, there is a point labeled E which is part of the vertical bar DE. Here’s a detailed description of the components and dimensions in the diagram: - **Points and Dimensions:** - **A**: The bottom-left corner of the triangle, fixed to the ground. - **B**: The top-left corner of the triangle, where a force of 220 N is acting to the left. - **C**: The top-right corner of the triangle, fixed in DE. - **D**: The bottom-right corner of the triangle, also fixed to the ground. - **E**: The top of the vertical bar extending from point D. - **Measurements:** - The horizontal distance between A and D (base of the triangle): 115 mm - The vertical distance from A to B: 90 mm - The vertical distance from C to E: 80 mm - The vertical distance from B to C: 75 mm ### Diagram Explanation: - The triangular plate is oriented such that: - Segment AB is vertical. - Segment BC is horizontal. - Segment AD forms the hypotenuse with the horizontal and vertical distances provided. - A force of 220 N is acting horizontally to the left on point B. - Point C is attached to a vertical bar DE. - Point D is where the magnitude of the force needs to be calculated. ### Calculation Requirement: To solve this, we need to set up the equilibrium equations for the forces and moments acting on the triangular plate. Since the diagram shows a statically determinate system, applying these equations will help us determine the magnitude of the force at point D. ### Answer Submission: Once the calculations are performed, enter the magnitude of the force in the provided answer box. **Answer: D =** [Input Field] **N**
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