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Every one knows that positive caster has a tendency to keep the wheels straight and to return them to center after a turn. So try this. Go down to your local grocery store, find a shopping cart, and spin the front wheels around, so the wheels are sticking out front in what you call a positive caster position. Push the cart forward, and let me know what happens.
The shopping carts pivot point projected to the ground, hits it in front of the wheel where it meets the ground. Same as the motorcycle, bicycle, office chair. they all have positive caster.
Here's my take on this. Positive caster uses the weight of the vehicle to steer it straight. Negitive does the opposite. My 60s style altered has plenty positive caster. Straight and stable at all speeds. Hard to turn at any constant speed. Now back it up. Like after a burn out. Need to hold on tight cause those wheels will flop over and lock up in an instant. Need to move forward to unlock em. And if weight shifts forward to fast the wheels can go into a death wobble! A tap on the throttle takes care of that. So what's the point? Sometimes you need extreme examples to clarify things. And shopping carts have no effective castor. As weight over the wheels does not cause them to "steer" in any particular direction. And nose gear on aircraft generally locks straight ahead then unlocks at a very low speed. That's it. Slice away! LOL.
I wonder what our wife's woud think of us, about this deep, profound, technical spiritual, and philosophical discussion that we're having about shopping carts