A force of magnitude P = 166 N is applied to the stationary machine handle as shown. Write the force and moment reactions at O as vectors. Neglect the weight of the handle assembly. A 12% 125 mm 165 mm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Educational Content on Force and Moment Reactions**

**Problem Statement:**
A force of magnitude \( P = 166 \, \text{N} \) is applied to the stationary machine handle as shown. Write the force and moment reactions at point \( O \) as vectors. Neglect the weight of the handle assembly.

**Diagram Explanation:**
The image depicts a machine handle with a force \( P \) of 166 N applied at an angle of 12 degrees to the horizontal. The handle has a total length represented in two parts along the x and y axes: 165 mm along the x-axis and 125 mm perpendicular to it (in the yz-plane). The force \( P \) acts at point A along the handle's axis.

- The handle is oriented in the x-y plane with the origin \( O \) at the base.
- The angle of 12 degrees denotes the inclination of the force \( P \) from the horizontal axis.

**Answers:**
Reactions at point \( O \) are given in vector components:

- **Force Reaction (R):**
  \[
  R = (-162.37 \, \text{i} + 0 \, \text{j} - 34.51 \, \text{k}) \, \text{N}
  \]

- **Moment Reaction (M):**
  \[
  M = (\text{To be calculated} \, \text{i} + \text{To be calculated} \, \text{j} + \text{To be calculated} \, \text{k}) \, \text{N} \cdot \text{m}
  \]

**Note:** 
The moment components need to be calculated based on the given geometry and applied force.
Transcribed Image Text:**Educational Content on Force and Moment Reactions** **Problem Statement:** A force of magnitude \( P = 166 \, \text{N} \) is applied to the stationary machine handle as shown. Write the force and moment reactions at point \( O \) as vectors. Neglect the weight of the handle assembly. **Diagram Explanation:** The image depicts a machine handle with a force \( P \) of 166 N applied at an angle of 12 degrees to the horizontal. The handle has a total length represented in two parts along the x and y axes: 165 mm along the x-axis and 125 mm perpendicular to it (in the yz-plane). The force \( P \) acts at point A along the handle's axis. - The handle is oriented in the x-y plane with the origin \( O \) at the base. - The angle of 12 degrees denotes the inclination of the force \( P \) from the horizontal axis. **Answers:** Reactions at point \( O \) are given in vector components: - **Force Reaction (R):** \[ R = (-162.37 \, \text{i} + 0 \, \text{j} - 34.51 \, \text{k}) \, \text{N} \] - **Moment Reaction (M):** \[ M = (\text{To be calculated} \, \text{i} + \text{To be calculated} \, \text{j} + \text{To be calculated} \, \text{k}) \, \text{N} \cdot \text{m} \] **Note:** The moment components need to be calculated based on the given geometry and applied force.
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