College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Text Transcription & Description for Educational Website**

**Text:**

In the figure, two particles, each with mass \( m = 0.84 \, \text{kg} \), are fastened to each other, and to a rotation axis at \( O \), by two thin rods, each with length \( d = 5.6 \, \text{cm} \) and mass \( M = 1.0 \, \text{kg} \). The combination rotates around the rotation axis with angular speed \( \omega = 0.28 \, \text{rad/s} \). Measured about \( O \), what is the combination’s (a) rotational inertia and (b) kinetic energy?

**Diagram Explanation:**

- The diagram shows a rotational system with a central axis labeled as \( O \).
- Two particles, each marked with mass \( m \), are placed at both ends of two rods.
- Each rod has a mass labeled \( M \) and length \( d \).
- The rotation axis is marked as a point labeled \( O \) at one end of the assembly.
- There is an angular arrow indicating the direction of rotation with an angular speed \( \omega \).
- The whole assembly (rods and particles) rotates about the point \( O \).

**Questions:**

- (a) Determine the rotational inertia of the system (Enter the value in the provided box with appropriate units).
- (b) Calculate the kinetic energy of the system (Enter the value in the provided box with appropriate units).
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Transcribed Image Text:**Text Transcription & Description for Educational Website** **Text:** In the figure, two particles, each with mass \( m = 0.84 \, \text{kg} \), are fastened to each other, and to a rotation axis at \( O \), by two thin rods, each with length \( d = 5.6 \, \text{cm} \) and mass \( M = 1.0 \, \text{kg} \). The combination rotates around the rotation axis with angular speed \( \omega = 0.28 \, \text{rad/s} \). Measured about \( O \), what is the combination’s (a) rotational inertia and (b) kinetic energy? **Diagram Explanation:** - The diagram shows a rotational system with a central axis labeled as \( O \). - Two particles, each marked with mass \( m \), are placed at both ends of two rods. - Each rod has a mass labeled \( M \) and length \( d \). - The rotation axis is marked as a point labeled \( O \) at one end of the assembly. - There is an angular arrow indicating the direction of rotation with an angular speed \( \omega \). - The whole assembly (rods and particles) rotates about the point \( O \). **Questions:** - (a) Determine the rotational inertia of the system (Enter the value in the provided box with appropriate units). - (b) Calculate the kinetic energy of the system (Enter the value in the provided box with appropriate units).
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