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Series of free-body diagrams and equilibrium equations to determine important reactions/loads imparted on the components of the machine during typical use

Series of free-body diagrams and equilibrium equations to determine important reactions/loads imparted on the components of the machine during typical use

Elements Of Electromagnetics
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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Series of free-body diagrams and equilibrium equations to determine important reactions/loads imparted on the components of the machine during typical use

The diagram illustrates a mechanical plier with various annotated dimensions and force angles, likely used for educational purposes to study static equilibrium or mechanical advantage. ### Components and Dimensions: - **Handles:** - Two handles, each 400 mm in length, are shown extending from the pivot point. - At the end of each handle, a 100 N force is applied at a 15° angle from the horizontal. - **Force Application:** - The forces on both handles are applied downwards at the same angle. - **Pivot and Linkage:** - The tool pivots around point C. - A linkage mechanism is formed by points A, B, D, E, and F. - **Annotated Points and Distances:** - **Point A** is at the pivot near the jaws of the plier. - **Point B** is connected to the linkage system. - **Point C** is the main pivot point of the plier. - **Point D** is at the terminus of the shorter 30 mm segment from point E. - **Point E** is connected perpendicularly to the outer fulcrum or jaw. - **Point F** marks the attachment of the inner linkage to the handles. - The distance from point E to C is 80 mm, and the internal linkage segment BF and DF each measure 20 mm. - **Jaws:** - The front part, likely the jaws of the plier, is marked with point J, with a short 15 mm segment leading to a smaller inner adjustment or support marked with "realizes." ### Mechanical Function: The diagram appears to demonstrate the mechanical advantage of the plier by showing how forces applied at the handles can exert greater force at points E and F due to the lever action and linkage configuration. This setup helps explain concepts like torque, equilibrium, and mechanical advantage in a practical tool, useful for engineering or physics education.
Transcribed Image Text:The diagram illustrates a mechanical plier with various annotated dimensions and force angles, likely used for educational purposes to study static equilibrium or mechanical advantage. ### Components and Dimensions: - **Handles:** - Two handles, each 400 mm in length, are shown extending from the pivot point. - At the end of each handle, a 100 N force is applied at a 15° angle from the horizontal. - **Force Application:** - The forces on both handles are applied downwards at the same angle. - **Pivot and Linkage:** - The tool pivots around point C. - A linkage mechanism is formed by points A, B, D, E, and F. - **Annotated Points and Distances:** - **Point A** is at the pivot near the jaws of the plier. - **Point B** is connected to the linkage system. - **Point C** is the main pivot point of the plier. - **Point D** is at the terminus of the shorter 30 mm segment from point E. - **Point E** is connected perpendicularly to the outer fulcrum or jaw. - **Point F** marks the attachment of the inner linkage to the handles. - The distance from point E to C is 80 mm, and the internal linkage segment BF and DF each measure 20 mm. - **Jaws:** - The front part, likely the jaws of the plier, is marked with point J, with a short 15 mm segment leading to a smaller inner adjustment or support marked with "realizes." ### Mechanical Function: The diagram appears to demonstrate the mechanical advantage of the plier by showing how forces applied at the handles can exert greater force at points E and F due to the lever action and linkage configuration. This setup helps explain concepts like torque, equilibrium, and mechanical advantage in a practical tool, useful for engineering or physics education.
Expert Solution
Step 1

Consider the free body diagram of the handle as shown below.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

From the free body diagram of handle, take moment equilibrium about the point F.

Mechanical Engineering homework question answer, step 2, image 1

Step 3

Consider the free body diagram of the jaw.

Mechanical Engineering homework question answer, step 3, image 1

From the horizontal equilibrium of forces,

Mechanical Engineering homework question answer, step 3, image 2

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