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after the decimal point. Take g = 9.81 m/s². r 0 F

after the decimal point. Take g = 9.81 m/s². r 0 F

Elements Of Electromagnetics
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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The 30-kg wheel has a radius of gyration about its center \( O \) of \( k_O = 240 \, \text{mm} \), and radius \( r = 0.5 \, \text{m} \). When the wheel is subjected to the constant force \( F = 388 \, \text{N} \), applied to the wheel's center axle at an angle \( \theta = 6^\circ \), it starts rolling from rest. Determine the total angular impulse \( L \) (in \( \text{N}\cdot\text{m}\cdot\text{s} \)) about the wheel's IC after 3.7 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram shows a wheel with several labeled components and forces: - The center of the wheel is labeled as \( G \). - A force \( F \) is acting at an angle \( \theta \) from the horizontal axis. - The force is shown with a black arrow originating from the center \( G \). - The angle \( \theta \) is noted between the force vector and the horizontal line. - The radius of the wheel is labeled as \( r' \) with a blue arrow extending from the center \( G \). - An arc with a red arrow illustrates the rotational direction of the wheel. Your Answer: [Text box for entering the answer]
Transcribed Image Text:The 30-kg wheel has a radius of gyration about its center \( O \) of \( k_O = 240 \, \text{mm} \), and radius \( r = 0.5 \, \text{m} \). When the wheel is subjected to the constant force \( F = 388 \, \text{N} \), applied to the wheel's center axle at an angle \( \theta = 6^\circ \), it starts rolling from rest. Determine the total angular impulse \( L \) (in \( \text{N}\cdot\text{m}\cdot\text{s} \)) about the wheel's IC after 3.7 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram shows a wheel with several labeled components and forces: - The center of the wheel is labeled as \( G \). - A force \( F \) is acting at an angle \( \theta \) from the horizontal axis. - The force is shown with a black arrow originating from the center \( G \). - The angle \( \theta \) is noted between the force vector and the horizontal line. - The radius of the wheel is labeled as \( r' \) with a blue arrow extending from the center \( G \). - An arc with a red arrow illustrates the rotational direction of the wheel. Your Answer: [Text box for entering the answer]
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