**Title: Analyzing Cheese-Wheel Dynamics****Introduction:**In a cheese-wheel-rolling competition, selecting the optimal cheese wheel can increase your chances of winning by leveraging physics principles. Here, we examine two cheese wheels to determine which one might perform better on a downhill course.**Problem Description:**You're participating in a cheese-wheel-rolling-down-a-hill event. Choose between two given cheese wheels to maximize your chance of victory, supported by physics principles. Both wheels are equal in mass, experience the same friction, and maintain structural integrity throughout the descent.**Cheese Wheels Comparison:**1. **Wheel 1 (Left Diagram):** - Radius: \( r_1 \) - Length: \( L_1 \) - Shape: Cylindrical wheel with parameters demonstrating a vertical orientation.2. **Wheel 2 (Right Diagram):** - Radius: \( r_2 \) - Length: \( L_2 \) - Shape: Additional cylindrical segment with a horizontal orientation extending the length.**Diagram Analysis:**- Both diagrams depict side views of the cylindrical cheese wheels.- The left diagram highlights a taller, potentially narrower wheel.- The right diagram displays a lower, potentially wider wheel, suggesting a different moment of inertia based on shape distribution.**Physics Considerations:**- **Moment of Inertia (I):** A pivotal factor influencing acceleration when rolling. A wheel with a larger moment of inertia may roll slower due to its distribution of mass relative to the axis.- **Rolling Friction and Stability:** Wider wheels may offer greater stability and lower rolling resistance.**Conclusion:**In selecting the optimal cheese wheel, consider the moment of inertia and friction factors. Calculating these based on the provided dimensions will give insight into which wheel may roll faster and maintain stability throughout the descent, optimizing performance in the competition.

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