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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**Educational Content Transcription:**

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The system is made up of a 1-meter, 6.5-kilogram uniform rod \( AB \) and two uniform disks (each with a 0.19-meter radius and 1.5-kilogram mass). If the system is released from rest when \( \theta = 80^\circ \), when rod \( AB \) has just become horizontal, determine the coefficient \( C \) in the expression \( C \cdot \omega_{AB}^2 \), which represents the kinetic energy of rod \( AB \) at this instant. Assume the disks roll without slipping. Your answer must include two decimal places after the decimal point. Please pay attention: the numbers may change since they are randomized. The gravitational acceleration \( g \) is given as \( 9.81 \, \text{m/s}^2 \).

**Diagrams Description:**

- The left diagram illustrates the initial position of the rod \( AB \) making an angle \( \theta \) of 80 degrees with the vertical. The rod is connected to two disks at points \( A \) and \( B \).
- The right diagram shows the position of rod \( AB \) once it has fallen to become horizontal, parallel to the floor.

Your Answer:
[Input Box]

**Answer**

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Transcribed Image Text:**Educational Content Transcription:** --- The system is made up of a 1-meter, 6.5-kilogram uniform rod \( AB \) and two uniform disks (each with a 0.19-meter radius and 1.5-kilogram mass). If the system is released from rest when \( \theta = 80^\circ \), when rod \( AB \) has just become horizontal, determine the coefficient \( C \) in the expression \( C \cdot \omega_{AB}^2 \), which represents the kinetic energy of rod \( AB \) at this instant. Assume the disks roll without slipping. Your answer must include two decimal places after the decimal point. Please pay attention: the numbers may change since they are randomized. The gravitational acceleration \( g \) is given as \( 9.81 \, \text{m/s}^2 \). **Diagrams Description:** - The left diagram illustrates the initial position of the rod \( AB \) making an angle \( \theta \) of 80 degrees with the vertical. The rod is connected to two disks at points \( A \) and \( B \). - The right diagram shows the position of rod \( AB \) once it has fallen to become horizontal, parallel to the floor. Your Answer: [Input Box] **Answer** ---
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