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Consider now the configuration below: a)Express the total kinetic energy of System 2 in terms of ω, r, and m. b) If we express the kinetic energy as K=1/2Iω^2, what is I for System 2? c) Which mass has a larger kinetic energy, the mass at radius r or the mass at r/2? Why?

Consider now the configuration below: a)Express the total kinetic energy of System 2 in terms of ω, r, and m. b) If we express the kinetic energy as K=1/2Iω^2, what is I for System 2? c) Which mass has a larger kinetic energy, the mass at radius r or the mass at r/2? Why?

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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Consider now the configuration below:

a)Express the total kinetic energy of System 2 in terms of ω, r, and m.

b) If we express the kinetic energy as K=1/2Iω^2, what is I for System 2?

c) Which mass has a larger kinetic energy, the mass at radius r or the mass at r/2? Why?

**Transcription and Explanation of Figure 3** The diagram represents a system with two mass elements, each labeled "m," positioned symmetrically on a horizontal beam. These masses are indicated in orange, sitting at opposite ends of a blue beam. Key features of the diagram include: 1. **Circular Motion Path**: - Both masses are connected along a beam and depicted as moving in a circular path around a central point. The circular motion is indicated with dashed arrows forming two concentric circles. 2. **Radius**: - The distance from the center of rotation to each mass is labeled as "r," signifying the radius of the circular path. - A smaller distance of "r/2" is also marked, possibly indicating a midpoint or a reference within the system. 3. **Angular Velocity (ω)**: - The symbol "ω" is placed along the circular path, suggesting that the masses are rotating with a certain angular velocity. This diagram typically illustrates principles related to rotational dynamics, showing how the masses are distributed and move in relation to the central axis of rotation.
Transcribed Image Text:**Transcription and Explanation of Figure 3** The diagram represents a system with two mass elements, each labeled "m," positioned symmetrically on a horizontal beam. These masses are indicated in orange, sitting at opposite ends of a blue beam. Key features of the diagram include: 1. **Circular Motion Path**: - Both masses are connected along a beam and depicted as moving in a circular path around a central point. The circular motion is indicated with dashed arrows forming two concentric circles. 2. **Radius**: - The distance from the center of rotation to each mass is labeled as "r," signifying the radius of the circular path. - A smaller distance of "r/2" is also marked, possibly indicating a midpoint or a reference within the system. 3. **Angular Velocity (ω)**: - The symbol "ω" is placed along the circular path, suggesting that the masses are rotating with a certain angular velocity. This diagram typically illustrates principles related to rotational dynamics, showing how the masses are distributed and move in relation to the central axis of rotation.
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