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The thing is that the bike will NEVER fall if the centre of gravity of the bike+you system is vertically above the base of the bike.

In fact, this is even more complicated: This is because the bike has two different bases (the two tyres). So, it may be that the weight of the bike+you system falls outside the range of the bases, but still the bike doesn't fall. You can tackle this problem using the principle of moments.

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Q: Why the bike doesn't fall in any side when you are driving it?
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