Calculating angle of lean on a motorbike on a banked curve

Click For Summary
SUMMARY

The calculation of the angle of lean for a motorbike on a banked curve involves understanding the forces at play, specifically the centripetal force and the balancing moment. The lean angle can initially be determined for a flat road using the formula for the overturning moment (h x mv²/r) against the balancing moment. Once the angle relative to the horizontal is established, the road banking angle must be subtracted to find the angle relative to the banked road. This method effectively accounts for the influence of friction and road incline.

PREREQUISITES
  • Understanding of centripetal force and balancing moments
  • Familiarity with basic physics concepts, particularly torque
  • Knowledge of motorbike dynamics and stability
  • Proficiency in trigonometry for angle calculations
NEXT STEPS
  • Research the principles of centripetal force in motorbike dynamics
  • Study the effects of friction on vehicle stability during cornering
  • Learn about torque and its application in vehicle mechanics
  • Explore advanced topics in vehicle dynamics, such as lean angle optimization
USEFUL FOR

This discussion is beneficial for mechanical engineers, motorbike enthusiasts, and physics students interested in vehicle dynamics and stability analysis on banked curves.

lee23
Messages
1
Reaction score
0
Member warned about posting a problem without the template and with no effort
Hi all,

I was wondering if anyone could help me with calculating the angle of lean on a motorbike on a banked curve (with friction). If possible proofs would be very useful.

Thanks

Lee
 
Physics news on Phys.org
lee23 said:
Hi all,

I was wondering if anyone could help me with calculating the angle of lean on a motorbike on a banked curve (with friction). If possible proofs would be very useful.

Thanks

Lee
You calculate the lean for a flat road first, by setting the overturning moment caused by centripetal force (h x mv^2/r) against the balancing moment caused by moving the CG horizontally as it leans. When you have the angle relative to horizontal, notice it is the same even if the road banks. So if you want the angle relative to the road, you must deduct the road banking angle.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 49 ·
2
Replies
49
Views
5K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K