R=50 Lbs Length FE75 inch Length FR 12 Inches Calculate E (Lbs) Calculate MA

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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**Transcription:**

**Given:**
- R = 50 lbs
- Length FE = 0.75 inch
- Length FR = 12 inches

**Tasks:**
- Calculate E (lbs)
- Calculate MA

**Diagram Explanation:**
The diagram illustrates a lever system in the form of a bent arm holding a weight. Key elements include:

- **R (Resistance Force):** A downward force of 50 lbs representing the weight being held in the hand.
- **E (Effort Force):** The force exerted by the muscle to balance the resistance.
- **Length FE:** The distance from the elbow (fulcrum) to where the muscle applies the effort (0.75 inch).
- **Length FR:** The distance from the elbow (fulcrum) to where the resistance is applied (12 inches).

**Objective:**
- Calculate the effort force (E) needed to balance the resistance using the formula for levers: \( MA = \frac{FR}{FE} \)
- Calculate Mechanical Advantage (MA) using the given lengths.

This setup demonstrates how to apply principles of levers to understand mechanical advantage and the forces in play within the human arm.
Transcribed Image Text:**Transcription:** **Given:** - R = 50 lbs - Length FE = 0.75 inch - Length FR = 12 inches **Tasks:** - Calculate E (lbs) - Calculate MA **Diagram Explanation:** The diagram illustrates a lever system in the form of a bent arm holding a weight. Key elements include: - **R (Resistance Force):** A downward force of 50 lbs representing the weight being held in the hand. - **E (Effort Force):** The force exerted by the muscle to balance the resistance. - **Length FE:** The distance from the elbow (fulcrum) to where the muscle applies the effort (0.75 inch). - **Length FR:** The distance from the elbow (fulcrum) to where the resistance is applied (12 inches). **Objective:** - Calculate the effort force (E) needed to balance the resistance using the formula for levers: \( MA = \frac{FR}{FE} \) - Calculate Mechanical Advantage (MA) using the given lengths. This setup demonstrates how to apply principles of levers to understand mechanical advantage and the forces in play within the human arm.
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