Calculating angle of lean on a motorbike on a banked curve

[lee23]

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

 

[tech99]

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.