January, 2024 Puzzler

[wildbears]

How far do you lean?

Two motorcycles are going through a constant radius curve such that each enters and exits at the same time.

One hugs the inside and the other the outside.

Does one have to lean more than the other?

[Pittsdriverwes]

Total guess because I suck at physics but I'll say their lean angle is the same. The outside bike has farther to travel so must go faster to exit at the same time but is also traveling along a wider arc.

[955i]

Pitts, I like your thinkin,' but I'm going to say the outside bike has to lean more. If I exagerate the turn and make it a really wide road (like 200' wide) and a pretty sharp turn, I imagine the bike on the outside really having to crank it over to make up all the lost distance

[wildbears]

Hint....

[cabnfvr]

How far do you lean?

Two motorcycles are going through a constant radius curve such that each enters and exits at the same time.

One hugs the inside and the other the outside.

Does one have to lean more than the other?

It's physics. Radius, cg and speed determine lean angle. Bike or bicycle, lean angle would be the same for the given radius as long as the CG and radius is the same. Leaning off changes things. Mass is cancelled out of the equation. Bigger radius, less lean. More speed, more lean.

[Scot]

Inside leans further. Less distance tighter radius. But not by much. Your hint was just all greek to me.

[Pittsdriverwes]

Hint....

So it's a function of the square of velocity which would indicate that the outside turning motorcycle would lean farther/going faster. Not intuitive and I'm not smart enough to challenge the equation.

[Capnrip]

Y'all worry about some crazy shit. I don't want my tangent being 0.

[955i]

See my response to Comment 1.

[Lee]

To keep it simple I was thinking the same as you.
If I had to figure out all the math, I'd run off the road

[Doctor350]

The bike on the outside has to travel further in the same amount of time as the inside bike. So the outside bike has to travel at a higher average speed than the inside bike. Whether one has to lean more than the other depends entirely on which one uses Royal Purple.

[955i]

Lee, "Keep it simple, Stupid" is a motto lawyers live by!