**Problem Description: Motion of a Particle Along a Slot**The particle has a mass of 0.45 kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Assume the particle contacts only one side of the slot at any instant. The arm has an angular acceleration of \(\ddot{\theta} = 3 \, \text{rad}/\text{s}^2\) when \(\dot{\theta} = 2 \, \text{rad}/\text{s}\) at \(\theta = 30^\circ\).![Problem Diagram](Figure 1)**Figure Explanation:**- The illustration shows the arm OA along with the particle confined to move in the horizontal slot.- The arm OA is shown pivoted at point O and makes an angle \(\theta\) with the horizontal axis.- The particle is denoted by a small circle and marked as point A in the figure.- The length of arm OA is marked as \(r = 0.5 \, \text{m}\).- The angular velocity of the arm OA at the given instant is provided as \(\dot{\theta} = 2 \, \text{rad}/\text{s}\).**Environmental Conditions (for context or testing):**- Temperature: 99°F- Weather: Sunny ### Problem Statement**Part B**Determine the magnitude of the normal force of the slot on the particle when θ = 30°.Express your answer to three significant figures and include the appropriate units.### Answer SubmissionInput Box:\[ N = \]\[ 3.85 \quad \frac{\text{m}}{\text{s}^2} \]Button options below include:1. Submit2. Previous Answers3. Request Answer### Feedback- **Incorrect; Try Again; 5 attempts remaining**- Enter your answer using units of force.### Additional GuidanceMake sure to use units of force when inputting your answer. This might include units such as Newtons (N). For instance, if your computed value is correct, ensure it is in the appropriate context and magnitude reflective of force. Use the toolbar to input necessary mathematical symbols and notations correctly.

Answered: Image /qna-images/answer/d75eb9fd-8ba2-47f8-84b3-f6aa2cad6184.jpg

The particle has a mass of 0.45 kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Assume the particle contacts only one side of the slot at any instant. The arm has an angular acceleration of 0 = 3 rad/s² when 0 = 2 rad/s at 0=30° (Figure 1)

The particle has a mass of 0.45 kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Assume the particle contacts only one side of the slot at any instant. The arm has an angular acceleration of 0 = 3 rad/s² when 0 = 2 rad/s at 0=30° (Figure 1)

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

**Problem Description: Motion of a Particle Along a Slot**

The particle has a mass of 0.45 kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Assume the particle contacts only one side of the slot at any instant. The arm has an angular acceleration of \(\ddot{\theta} = 3 \, \text{rad}/\text{s}^2\) when \(\dot{\theta} = 2 \, \text{rad}/\text{s}\) at \(\theta = 30^\circ\).

![Problem Diagram](Figure 1)

**Figure Explanation:**
- The illustration shows the arm OA along with the particle confined to move in the horizontal slot.
- The arm OA is shown pivoted at point O and makes an angle \(\theta\) with the horizontal axis.
- The particle is denoted by a small circle and marked as point A in the figure.
- The length of arm OA is marked as \(r = 0.5 \, \text{m}\).
- The angular velocity of the arm OA at the given instant is provided as \(\dot{\theta} = 2 \, \text{rad}/\text{s}\).

**Environmental Conditions (for context or testing):**
- Temperature: 99°F
- Weather: Sunny

### Problem Statement

**Part B**

Determine the magnitude of the normal force of the slot on the particle when θ = 30°.

Express your answer to three significant figures and include the appropriate units.

### Answer Submission

Input Box:

\[ N = \]

\[ 3.85 \quad \frac{\text{m}}{\text{s}^2} \]

Button options below include:

1. Submit
2. Previous Answers
3. Request Answer

### Feedback
- **Incorrect; Try Again; 5 attempts remaining**
- Enter your answer using units of force.

### Additional Guidance
Make sure to use units of force when inputting your answer. This might include units such as Newtons (N). For instance, if your computed value is correct, ensure it is in the appropriate context and magnitude reflective of force. Use the toolbar to input necessary mathematical symbols and notations correctly.

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