3. Find the moment of inertia for the following cases. a. A quarter has a mass of 6 grams and a diameter of 24 millimeters. What is the moment of inertia when you spin it on a table? Give answer in kg m?. b. A figure skater can be modelled as a cylinder of mass 48 kg and radius 0.25 m. Determine the moment of inertia of the figure skater spinning about her center of mass. Give answer in kg m?.

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Chapter8: Rotational Equilibrium And Dynamics
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## Moment of Inertia Problems

### Problem 3: Find the moment of inertia for the following cases.

a. **Quarter Spinning on a Table**  
A quarter has a mass of 6 grams and a diameter of 24 millimeters. What is the moment of inertia when you spin it on a table? Give your answer in \( kg \, m^2 \).

*Illustration:* The image shows a quarter rotating around an axis perpendicular to its face.

b. **Figure Skater Modelled as a Cylinder**  
A figure skater can be modeled as a cylinder with a mass of 48 kg and a radius of 0.25 m. Determine the moment of inertia of the figure skater spinning about her center of mass. Give your answer in \( kg \, m^2 \).

*Illustration:* The image displays a cylinder representing the figure skater, with rotation about a vertical axis through the center.
Transcribed Image Text:## Moment of Inertia Problems ### Problem 3: Find the moment of inertia for the following cases. a. **Quarter Spinning on a Table** A quarter has a mass of 6 grams and a diameter of 24 millimeters. What is the moment of inertia when you spin it on a table? Give your answer in \( kg \, m^2 \). *Illustration:* The image shows a quarter rotating around an axis perpendicular to its face. b. **Figure Skater Modelled as a Cylinder** A figure skater can be modeled as a cylinder with a mass of 48 kg and a radius of 0.25 m. Determine the moment of inertia of the figure skater spinning about her center of mass. Give your answer in \( kg \, m^2 \). *Illustration:* The image displays a cylinder representing the figure skater, with rotation about a vertical axis through the center.
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