The shear shown is used to cut and trim electronic circui 30° 300 mm 30°/ 45 mm 60 mm D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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## Educational Content: Understanding Shear Mechanics

### Description
The schematic illustrates a shear mechanism used for cutting and trimming electronic circuit board laminates. The shear is composed of a handle and blade assembly.

### Diagram Explanation
- **Components and Dimensions:**
  - **Handle (AB):** The handle is 300 mm long and consists of an angle. From point A, it is inclined at an angle of 30 degrees to the horizontal.
  - **Blade (BC):** This part of the shear is connected to the handle, pivoting at point B, and is 45 mm long.
  - **Fixed Point (D):** Located vertically 60 mm below point B, and serves as a pivot point.
  - **Support Structure (E):** Positioned below point D, with horizontal distances labeled as 25 mm and 30 mm.

- **Forces:**
  - **Applied Force (P):** This force is directed downward at an angle of 30 degrees from the horizontal, applied at point A.

### Task
- **Objective:** Draw the free-body diagram of member ABC and determine the vertical force exerted on the shear blade at point D.

This diagram serves as a useful tool for visualizing the forces at play in a cutting tool, demonstrating how applied forces are transferred through the structure by analyzing the mechanical linkages and points of rotation.
Transcribed Image Text:## Educational Content: Understanding Shear Mechanics ### Description The schematic illustrates a shear mechanism used for cutting and trimming electronic circuit board laminates. The shear is composed of a handle and blade assembly. ### Diagram Explanation - **Components and Dimensions:** - **Handle (AB):** The handle is 300 mm long and consists of an angle. From point A, it is inclined at an angle of 30 degrees to the horizontal. - **Blade (BC):** This part of the shear is connected to the handle, pivoting at point B, and is 45 mm long. - **Fixed Point (D):** Located vertically 60 mm below point B, and serves as a pivot point. - **Support Structure (E):** Positioned below point D, with horizontal distances labeled as 25 mm and 30 mm. - **Forces:** - **Applied Force (P):** This force is directed downward at an angle of 30 degrees from the horizontal, applied at point A. ### Task - **Objective:** Draw the free-body diagram of member ABC and determine the vertical force exerted on the shear blade at point D. This diagram serves as a useful tool for visualizing the forces at play in a cutting tool, demonstrating how applied forces are transferred through the structure by analyzing the mechanical linkages and points of rotation.
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