A disc (thin cylinder) of mass 0.29 kg and radius 0.75 m is rotating on a frictionless axle at a constant rate of 82 RPM. What is the moment of inertia for this disc? kg-m² A second disc of 0.14 kg and 0.41 m is dropped down the axle on top. The two then rotate together. What is the final moment of inertia for both discs together? kg/m²
A disc (thin cylinder) of mass 0.29 kg and radius 0.75 m is rotating on a frictionless axle at a constant rate of 82 RPM. What is the moment of inertia for this disc? kg-m² A second disc of 0.14 kg and 0.41 m is dropped down the axle on top. The two then rotate together. What is the final moment of inertia for both discs together? kg/m²
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![### Problem Statement
#### Illustration:
A diagram shows two discs aligned vertically on a common axis. The bottom disc is mounted on a frictionless axle, which appears as a vertical line through the center of both discs.
#### Description:
A disc (thin cylinder) of mass 0.29 kg and radius 0.75 m is rotating on a frictionless axle at a constant rate of 82 RPM.
**Question 1:**
What is the moment of inertia for this disc?
\[ I = \_\_\_\_\_\_\_\_\_ \text{ kg} \cdot \text{m}^2 \]
A second disc of mass 0.14 kg and radius 0.41 m is dropped down the axle on top. The two then rotate together.
**Question 2:**
What is the final moment of inertia for both discs together?
\[ I = \_\_\_\_\_\_\_\_\_ \text{ kg} \cdot \text{m}^2 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe54e0005-a94e-48b0-84c3-74bbf4212726%2Fdb092d62-aa00-4f99-ac6c-b8922a1a578d%2Flfv0gb9_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
#### Illustration:
A diagram shows two discs aligned vertically on a common axis. The bottom disc is mounted on a frictionless axle, which appears as a vertical line through the center of both discs.
#### Description:
A disc (thin cylinder) of mass 0.29 kg and radius 0.75 m is rotating on a frictionless axle at a constant rate of 82 RPM.
**Question 1:**
What is the moment of inertia for this disc?
\[ I = \_\_\_\_\_\_\_\_\_ \text{ kg} \cdot \text{m}^2 \]
A second disc of mass 0.14 kg and radius 0.41 m is dropped down the axle on top. The two then rotate together.
**Question 2:**
What is the final moment of inertia for both discs together?
\[ I = \_\_\_\_\_\_\_\_\_ \text{ kg} \cdot \text{m}^2 \]
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