The compound-lever pruning shears shown can be adjusted by placing pin A at various ratchet positions on blade ACE.  Knowing that 1.5kN vertical forces are required to completed the pruning of a small branch, determine the magnitude P of the forces that must be applied to the handles when the shears are adjusted as shown.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The compound-lever pruning shears shown can be adjusted by placing pin A at various ratchet positions on blade ACE.  Knowing that 1.5kN vertical forces are required to completed the pruning of a small branch, determine the magnitude P of the forces that must be applied to the handles when the shears are adjusted as shown. 

The image depicts a mechanical lever system, likely a type of cutting tool or pliers. The illustration provides dimensions and force application points for analysis and understanding of the tool's mechanics.

Key components and annotations:

- **Handles**: There are two main handles with the force "P" applied. The distance between the points where the force is applied on the two handles is annotated, which is 70 mm.

- **Lever Arms**: The upper arm of the lever extends 32 mm from pivot point A to the object being cut, labeled as "E."

- **Pivot Points**: The image shows pivot points labeled as A, B, C, and D, indicating where the components of the pliers rotate or hinge.

- **Dimensions**:
  - The distance from pivot A to the force application on the upper handle is 70 mm.
  - The distance between the lower handle and its pivot B is 13 mm.
  - The distance from pivot B to the end of the lower handle is 15 mm.

- **Force Directions**: Arrows indicate the direction of the applied forces on the handles (P and -P).

- **Spacing**: Vertical distances between certain components are marked as 10 mm, 11 mm, and 5 mm, helping to illustrate the spacing and alignment of the tool's structure.

This diagram serves as an educational tool for understanding lever mechanics, force application, and tool design.
Transcribed Image Text:The image depicts a mechanical lever system, likely a type of cutting tool or pliers. The illustration provides dimensions and force application points for analysis and understanding of the tool's mechanics. Key components and annotations: - **Handles**: There are two main handles with the force "P" applied. The distance between the points where the force is applied on the two handles is annotated, which is 70 mm. - **Lever Arms**: The upper arm of the lever extends 32 mm from pivot point A to the object being cut, labeled as "E." - **Pivot Points**: The image shows pivot points labeled as A, B, C, and D, indicating where the components of the pliers rotate or hinge. - **Dimensions**: - The distance from pivot A to the force application on the upper handle is 70 mm. - The distance between the lower handle and its pivot B is 13 mm. - The distance from pivot B to the end of the lower handle is 15 mm. - **Force Directions**: Arrows indicate the direction of the applied forces on the handles (P and -P). - **Spacing**: Vertical distances between certain components are marked as 10 mm, 11 mm, and 5 mm, helping to illustrate the spacing and alignment of the tool's structure. This diagram serves as an educational tool for understanding lever mechanics, force application, and tool design.
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