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
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**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.
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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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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