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?

\[ I = \_\_\_\_\_\_\_\_\_ \text{ kg} \cdot \text{m}^2 \]
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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