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If you're riding a bike on ice with no friction and the wheels are rotating just as fast as they normally would when you're riding, will you fall down? (Since you're riding on frictionless ice you have would no linear momentum)
I think that, due to conservation of angular momentum, the spinning of the wheels will keep you from falling down.
However, since the ice is frictionless, the slightest imbalance in your seating will create a torque which tips over the bike. But does conservation of angular momentum counter-act even this??
Actually, I'm not really sure and I would appreciate some more knowledgeable opinions. Perhaps two cases could be considered:
1. Everywhere is frictionless
2. Only the surface directly under the wheels is frictionless, while there is gravel on either side of the wheels.
thanks :)
I think that, due to conservation of angular momentum, the spinning of the wheels will keep you from falling down.
However, since the ice is frictionless, the slightest imbalance in your seating will create a torque which tips over the bike. But does conservation of angular momentum counter-act even this??
Actually, I'm not really sure and I would appreciate some more knowledgeable opinions. Perhaps two cases could be considered:
1. Everywhere is frictionless
2. Only the surface directly under the wheels is frictionless, while there is gravel on either side of the wheels.
thanks :)