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5. A 3 kg uniform disk has a radius of 2 m. What is the moment of inertia around an axis at the center of the disk perpendicular to the disk? m 6. A 3 kg uniform hoop has a radius of 2 m. A torque of 10 N-m is applied to the outside of the hoop. What is the angular acceleration?

5. A 3 kg uniform disk has a radius of 2 m. What is the moment of inertia around an axis at the center of the disk perpendicular to the disk? m 6. A 3 kg uniform hoop has a radius of 2 m. A torque of 10 N-m is applied to the outside of the hoop. What is the angular acceleration?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The image contains formulae and problems related to rotational dynamics: **Equations:** - \( s = r\theta \) - \( v = r\omega \) - \( a = r\alpha \) - \( \tau = F \times r \) - \( \Sigma \tau = I \alpha \) - \( \vec{L} = I \vec{\omega} \) - \( K = \frac{1}{2} I \omega^2 \) **Problem 5:** - **Text:** "A 3 kg uniform disk has a radius of 2 m. What is the moment of inertia around an axis at the center of the disk perpendicular to the disk?" - **Diagram Description:** The illustration shows a uniform disk. The disk has: - Center marked as \( C \) - Radius \( R \) - Axis of rotation perpendicular to the disk passing through center \( C \), represented by line \( OQ \). **Problem 6:** - **Text:** "A 3 kg uniform hoop has a radius of 2 m. A torque of 10 N·m is applied to the outside of the hoop. What is the angular acceleration?" The provided information involves understanding the concepts of rotational motion, including torque, angular momentum, and kinetic energy. These principles are key for comprehending how objects rotate and respond to various forces.
Transcribed Image Text:The image contains formulae and problems related to rotational dynamics: **Equations:** - \( s = r\theta \) - \( v = r\omega \) - \( a = r\alpha \) - \( \tau = F \times r \) - \( \Sigma \tau = I \alpha \) - \( \vec{L} = I \vec{\omega} \) - \( K = \frac{1}{2} I \omega^2 \) **Problem 5:** - **Text:** "A 3 kg uniform disk has a radius of 2 m. What is the moment of inertia around an axis at the center of the disk perpendicular to the disk?" - **Diagram Description:** The illustration shows a uniform disk. The disk has: - Center marked as \( C \) - Radius \( R \) - Axis of rotation perpendicular to the disk passing through center \( C \), represented by line \( OQ \). **Problem 6:** - **Text:** "A 3 kg uniform hoop has a radius of 2 m. A torque of 10 N·m is applied to the outside of the hoop. What is the angular acceleration?" The provided information involves understanding the concepts of rotational motion, including torque, angular momentum, and kinetic energy. These principles are key for comprehending how objects rotate and respond to various forces.
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