Friction on bicycle wheels in uniform circular motion

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SUMMARY

The discussion focuses on the dynamics of friction in bicycle wheels during uniform circular motion. When a bicycle is leaned into a turn, the front wheel experiences backward friction due to rolling resistance, while the rear wheel generates forward friction to overcome its own rolling resistance. Both wheels contribute to centripetal acceleration by exerting outward force on the pavement, which is countered by the inward force from the pavement. This interaction is influenced by tire deformation at the contact patches, affecting the path radius during a turn.

PREREQUISITES
  • Understanding of uniform circular motion
  • Knowledge of friction types: static and rolling resistance
  • Basic principles of centripetal acceleration
  • Familiarity with bicycle mechanics and tire dynamics
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  • Research the effects of tire deformation on handling and stability
  • Explore the physics of centripetal force in cycling
  • Learn about different types of bicycle tires and their friction characteristics
  • Investigate techniques for optimizing bicycle performance during turns
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Cyclists, mechanical engineers, physics students, and anyone interested in the mechanics of bicycle dynamics and performance optimization.

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On pedaling a bicycle along a straight line, the friction act forward on the rear wheel and act backward on the front wheel.

If I turn its handlebar so that the front wheel is at a certain angle (say theta) and pedal it in uniform circular motion, what would be the direction of the friction on both wheel?
 
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The backward friction on the front tire is rolling resistance. The back tire also has rolling resistance, but the rider input generates sufficient torque to overcome the rolling resistance.

When the bike is leaned over and in a stable turn with the front tire turned inwards, both the front and rear tires contribute to centrpetal acceleration, by pushing outwards on the pavement, coexistant with the pavement pushing inwards on the tires. Part of this is due to deformation at the contact patches, which results in the tires following a path with a slightly larger radius than the path the bike would follow if there was no deformation.
 

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