**Q14.** The collars are pin connected at \( B \) and are free to move along rod \( OA \) and the curved guide \( OC \) having the shape of a cardioid, \( r = \left[C \cdot (1 + \cos \theta)\right] \, \text{m} \), where \( C = 0.3 \). The rod \( OA \) moves at a constant angular velocity \( \dot{\theta} = 1.6 \, \text{rad/s} \). Determine the magnitude of the acceleration (in m/s\(^2\)) of the collars at the instant \( \theta = 1.0 \, \text{rad} \). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit.**Your Answer:**[Answer Box]---**Diagram Explanation:**The diagram shows a setup with a rod \( OA \) and a curved guide \( OC \). The collars are pin connected at point \( B \) and can move along both the rod and the guide. The rod \( OA \) rotates around point \( O \) and is positioned at an angle \( \theta \) with respect to the horizontal. The curved path \( OC \) follows the shape of a cardioid described by the equation \( r = \left[C \cdot (1 + \cos \theta)\right] \).- **\( O \):** Fixed point at the base.- **\( A \):** End of rod \( OA \) that moves with the rotation.- **\( B \):** Point where the collars are pin connected.- **\( C \):** Endpoint of the curved guide.- **\( r \):** Radius from point \( O \) to a point on \( OC \).- **\( \theta \):** Angle of rotation from the horizontal.- **\( \dot{\theta} \):** Angular velocity of rod \( OA \).The task is to calculate the acceleration of the collars at a specific angle using the given parameters.

Answered: Image /qna-images/answer/d57610b1-1c82-460c-a879-3d6a4413cf7d.jpg

Q14. The collars are pin connected at B and are free to move along rod OA and the [C. (1 + cos 0)] m curved guide OC having the shape of a cardioid, where C = 0.3. The rod OA moves at a constant angular velocity 0 = 1.6 rad/s. Determine the magnitude of the acceleration (in m/s²) of the collars at the instant 0 = 1.0 rad. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Your Answer: Answer r B C =

Q14. The collars are pin connected at B and are free to move along rod OA and the [C. (1 + cos 0)] m curved guide OC having the shape of a cardioid, where C = 0.3. The rod OA moves at a constant angular velocity 0 = 1.6 rad/s. Determine the magnitude of the acceleration (in m/s²) of the collars at the instant 0 = 1.0 rad. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Your Answer: Answer r B C =

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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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

**Q14.** The collars are pin connected at \( B \) and are free to move along rod \( OA \) and the curved guide \( OC \) having the shape of a cardioid, \( r = \left[C \cdot (1 + \cos \theta)\right] \, \text{m} \), where \( C = 0.3 \). The rod \( OA \) moves at a constant angular velocity \( \dot{\theta} = 1.6 \, \text{rad/s} \). Determine the magnitude of the acceleration (in m/s\(^2\)) of the collars at the instant \( \theta = 1.0 \, \text{rad} \). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit.

**Your Answer:**

[Answer Box]

---

**Diagram Explanation:**

The diagram shows a setup with a rod \( OA \) and a curved guide \( OC \). The collars are pin connected at point \( B \) and can move along both the rod and the guide. The rod \( OA \) rotates around point \( O \) and is positioned at an angle \( \theta \) with respect to the horizontal. The curved path \( OC \) follows the shape of a cardioid described by the equation \( r = \left[C \cdot (1 + \cos \theta)\right] \).

- **\( O \):** Fixed point at the base.
- **\( A \):** End of rod \( OA \) that moves with the rotation.
- **\( B \):** Point where the collars are pin connected.
- **\( C \):** Endpoint of the curved guide.
- **\( r \):** Radius from point \( O \) to a point on \( OC \).
- **\( \theta \):** Angle of rotation from the horizontal.
- **\( \dot{\theta} \):** Angular velocity of rod \( OA \).

The task is to calculate the acceleration of the collars at a specific angle using the given parameters.

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