Determine the horizontal and vertical component of the force of the pin joint at F (kN)? Determine the magnitude of the force at C (kN)? Determine the horizontal and vertical component of the force of the pin joint at A (kN)?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Determine the horizontal and vertical component of the force of the pin joint at F (kN)?

Determine the magnitude of the force at C (kN)?

Determine the horizontal and vertical component of the force of the pin joint at A (kN)?

The image depicts a pair of bolt cutters with various mechanical features and dimensions labeled. Here is a detailed transcription and explanation:

**Description:**

1. **Handles:**
   - Two handles are shown, each 400 mm in length.
   - Each handle makes a 20° angle with the horizontal line extending from the bolt cutter's center.

2. **Forces:**
   - A force of 250 N is applied at the end of each handle.
   - The direction of the force is at a 20° angle to the handle.

3. **Pivot Points:**
   - The jaws of the bolt cutters are pinned at points \( E \), \( A \), \( D \), and \( B \).
   - An additional pin is located at point \( F \).

4. **Jaw Mechanism:**
   - The cutting section has a jaw length of 80 mm.
   - The connections include a 30 mm gap at point \( C \) and a 20 mm distance between the jaws and the handles at points \( A \) and \( B \).

**Explanation of Diagram:**

The diagram shows the mechanical setup of a bolt cutter. The applied forces on the handles generate a torque that is transferred through pivot points, providing the mechanical advantage needed to cut through materials. Each pin serves as a fulcrum to ensure proper force distribution and jaw alignment for efficient cutting action.  

This diagram is useful for understanding the mechanical principles of levers and force distribution in practical applications such as bolt cutting.
Transcribed Image Text:The image depicts a pair of bolt cutters with various mechanical features and dimensions labeled. Here is a detailed transcription and explanation: **Description:** 1. **Handles:** - Two handles are shown, each 400 mm in length. - Each handle makes a 20° angle with the horizontal line extending from the bolt cutter's center. 2. **Forces:** - A force of 250 N is applied at the end of each handle. - The direction of the force is at a 20° angle to the handle. 3. **Pivot Points:** - The jaws of the bolt cutters are pinned at points \( E \), \( A \), \( D \), and \( B \). - An additional pin is located at point \( F \). 4. **Jaw Mechanism:** - The cutting section has a jaw length of 80 mm. - The connections include a 30 mm gap at point \( C \) and a 20 mm distance between the jaws and the handles at points \( A \) and \( B \). **Explanation of Diagram:** The diagram shows the mechanical setup of a bolt cutter. The applied forces on the handles generate a torque that is transferred through pivot points, providing the mechanical advantage needed to cut through materials. Each pin serves as a fulcrum to ensure proper force distribution and jaw alignment for efficient cutting action. This diagram is useful for understanding the mechanical principles of levers and force distribution in practical applications such as bolt cutting.
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