Q13. 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= 0.2. The rod OA moves at a constant angular velocity 0 = 2.9 rad/s. Determine the magnitude of the velocity of the collars at the instant = 0.9 rad. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. Your Answer: Answer 0 B units C =

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

Q13. 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 \( C = 0.2 \). The rod \( OA \) moves at a constant angular velocity \( \dot{\theta} = 2.9 \, \text{rad/s} \). Determine the magnitude of the velocity of the collars at the instant \( \theta = 0.9 \, \text{rad} \). Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper SI unit.

**Diagram Explanation:**

The diagram shows a structure with a rod \( OA \), which rotates about point \( O \). The point \( A \) is connected to collars, which move along both the rod \( OA \) and a cardioid-shaped path \( OC \). The angle \( \theta \) is defined between the rod \( OA \) and a horizontal reference line, with the direction of the increasing angle shown by an arrow. The cardioid path \( OC \) is represented by a curve, and the radius \( r \) is labeled from point \( O \) to point \( C \). The collar at \( B \) is marked on this setup.

**Input Fields:**

- **Your Answer:**
  - A field labeled 'Answer' for numerical input.
  - A field labeled 'units' for the unit of measurement.
Transcribed Image Text:**Problem Statement:** Q13. 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 \( C = 0.2 \). The rod \( OA \) moves at a constant angular velocity \( \dot{\theta} = 2.9 \, \text{rad/s} \). Determine the magnitude of the velocity of the collars at the instant \( \theta = 0.9 \, \text{rad} \). Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper SI unit. **Diagram Explanation:** The diagram shows a structure with a rod \( OA \), which rotates about point \( O \). The point \( A \) is connected to collars, which move along both the rod \( OA \) and a cardioid-shaped path \( OC \). The angle \( \theta \) is defined between the rod \( OA \) and a horizontal reference line, with the direction of the increasing angle shown by an arrow. The cardioid path \( OC \) is represented by a curve, and the radius \( r \) is labeled from point \( O \) to point \( C \). The collar at \( B \) is marked on this setup. **Input Fields:** - **Your Answer:** - A field labeled 'Answer' for numerical input. - A field labeled 'units' for the unit of measurement.
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