Question about bistable multivibrator op amps

1. The problem statement, all variables and given/known data
Here is the problem:

So this is a bistable multivibrator.

2. Relevant equations
KVL and KCL laws

3. The attempt at a solution
I don’t entirely understand bistable multivibrators. I get what the solution is, the input voltage caps at 0.1V and the output caps at 0.7V and hysteresis occurs. Apparently, the output voltage will feed back into the + terminal of the op amp and this loops repeats itself until saturation… Why doesn’t this happen with a regular non-inverting amplifier. The configuration is almost the same except the terminals are flipped… What does this mean?

However, when I do some circuit analysis I notice that if the input is greater than 0.1V weird things happen. For example take a look at what I did here:

So when you have 5V as the input, what happens to the current flow, does some of it just magically get capped?

Another question I have is what is that 10k resistor right after the op amp used for?

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