Replace the horizontal 266-N force acting on the lever by an equivalent couple moment (N.m) at O.o = 34° and L= 114-mm. (positive in the counter-clockwise direction)
Replace the horizontal 266-N force acting on the lever by an equivalent couple moment (N.m) at O.o = 34° and L= 114-mm. (positive in the counter-clockwise direction)
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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Question
![**Educational Content:**
**Topic:** Mechanics - Equivalent Couple Moment
**Problem Statement:**
- Replace the horizontal 266-N force acting on the lever by an equivalent couple moment (N·m) at point O.
- Given:
- φ (phi) = 34°
- L = 114 mm
- The direction of positive moment is counter-clockwise.
**Diagram Explanation:**
- The diagram illustrates a lever pivoted at point O.
- There is a 266-N horizontal force (P) acting on the lever.
- The lever makes an angle φ = 34° with the horizontal axis.
- The length of the lever is L = 114 mm.
- The force is applied at the end of the lever, moving to the right.
**Objective:**
- Determine the equivalent couple moment in N·m at the pivot point O that can replace the given force's effect on the lever.
The concept applies principles of moments and equilibrium, ideal for understanding torque and mechanical leverage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8dc0b9fd-45c2-41df-86dc-3db8d4d245ae%2F55248779-101d-482a-b261-8807c5dec9b2%2F6c754d8_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content:**
**Topic:** Mechanics - Equivalent Couple Moment
**Problem Statement:**
- Replace the horizontal 266-N force acting on the lever by an equivalent couple moment (N·m) at point O.
- Given:
- φ (phi) = 34°
- L = 114 mm
- The direction of positive moment is counter-clockwise.
**Diagram Explanation:**
- The diagram illustrates a lever pivoted at point O.
- There is a 266-N horizontal force (P) acting on the lever.
- The lever makes an angle φ = 34° with the horizontal axis.
- The length of the lever is L = 114 mm.
- The force is applied at the end of the lever, moving to the right.
**Objective:**
- Determine the equivalent couple moment in N·m at the pivot point O that can replace the given force's effect on the lever.
The concept applies principles of moments and equilibrium, ideal for understanding torque and mechanical leverage.
Expert Solution
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Step 1
The moment about a point can be determined by multiplying the force with the shortest distance between the point and line of action of force.
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