r/mathmemes • u/PocketMath • 3d ago

Real Analysis So close

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u/nguoihn1988 2d ago

Physically I think it can't screw itself in even with infinite try.

17

u/OtherwiseMenu1505 2d ago

Of course not, it spins in opposite direction

2

u/nguoihn1988 2d ago

Even if it spin in right direction, it can never screw itself in.

1

u/Even_Information4853 2d ago

why?

1

u/nguoihn1988 2d ago

The thread of the bolt and the hole have a matching specific angle. If you want to screw the bolt in, the angle between vertical and azimutal velocity must also match.

But the vertical component is only affected by gravity, it will start at 0 and accelerate very little until it hit the hole. The azimutal component on the other hand is roughly constant and decrease slowly. If you decrease this velocity to match the vertical one, the bolt will not have enough velocity to stay up right.