1. For the pruning shears shown, a vertical force at point E of 1.5 kN is required to cut a small tree branch. (a) Draw the free body diagrams for all the components (you can use the figures on next page). (b) Determine the required magnitude of the force, P. (Note: point A is a pin, NOT a pin-in-slot.) (Ans: P = 156.6 N) %3D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem Statement:**

1. **Context:** For the pruning shears shown, a vertical force at point E of 1.5 kN is required to cut a small tree branch.

2. **Tasks:**
   
   (a) **Free Body Diagrams:** Draw the free body diagrams for all the components (you can use the figures on the next page).
   
   (b) **Force Calculation:** Determine the required magnitude of the force, P. (Note: point A is a pin, NOT a pin-in-slot.)

   **Answer:** P = 156.6 N

**Diagram Explanation:**

- **Layout:**
  - The diagram shows a pair of pruning shears with labeled points and dimensions.
  - Key points are labeled: A, B, C, D, E.
  - The shears have upper and lower components with specified measurements.

- **Forces:**
  - A downward vertical force P is applied at a distance of 70 mm from point C (upper handle).
  - An upward opposing force -P is exerted at the lower handle, at point B, which is 13 mm from point C.

- **Measurements:**
  - The vertical distance from the top lever to the pivot point is 10 mm, from pivot to mid shear is 11 mm, and further down on the lever is 5 mm from the previous.
  - Horizontal distances from point C to points involved are 32 mm to E, 13 mm to B, and 15 mm horizontally to D.
  
This schematic foresees calculating the applied force P based on equilibrium principles, considering distances and force interactions across the lever system.
Transcribed Image Text:**Problem Statement:** 1. **Context:** For the pruning shears shown, a vertical force at point E of 1.5 kN is required to cut a small tree branch. 2. **Tasks:** (a) **Free Body Diagrams:** Draw the free body diagrams for all the components (you can use the figures on the next page). (b) **Force Calculation:** Determine the required magnitude of the force, P. (Note: point A is a pin, NOT a pin-in-slot.) **Answer:** P = 156.6 N **Diagram Explanation:** - **Layout:** - The diagram shows a pair of pruning shears with labeled points and dimensions. - Key points are labeled: A, B, C, D, E. - The shears have upper and lower components with specified measurements. - **Forces:** - A downward vertical force P is applied at a distance of 70 mm from point C (upper handle). - An upward opposing force -P is exerted at the lower handle, at point B, which is 13 mm from point C. - **Measurements:** - The vertical distance from the top lever to the pivot point is 10 mm, from pivot to mid shear is 11 mm, and further down on the lever is 5 mm from the previous. - Horizontal distances from point C to points involved are 32 mm to E, 13 mm to B, and 15 mm horizontally to D. This schematic foresees calculating the applied force P based on equilibrium principles, considering distances and force interactions across the lever system.
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