Youre shifting your weight onto your left (vid's right) side and thus pressing more on it. That compression is why youre noticing it push out. Its more noticeable on the first vid but its still there in the 2nd vid.
Also, it may be the the camera, but it doesnt look like your feet are inline. Your left (vid right) foot looks like its in front of the other foot. With that youre going to have to twist a bit to squat. Since its your lead leg, when you twist onto to it, youre going to shift more weight onto it because of that momentum and maybe because its just your stronger/more mobile/whatever leg.
Either way, get your feet lined up and then see what happens.
I see what you mean, but I think it's the camera angle. I'm very anal about my foot position. To the point where I think it's ridiculous, sometimes. I can't squat or deadlift unless everything's all lined up and perfect angles. The bar, the wall, the carpet patterns, etc.
It looks like I turn or shift a bit on the way down, which makes it look even more like my feet aren't lined up. By the time I'm at the bottom, I'm off enough to have to overcompensate on the push back up.
I'll try to get some from farther back, in a different gym with better lighting, too.
You have your feet angled out a lot. I've never seen anyone squat like that.
Also, you look like you're coming straight down, and your knees have to come way forward. You look like you're front squatting, but the bar is on your back. Try to sit back a little (just a little) more.
I apologize that nothing I wrote here has to do with your left knee tracking out.
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Matthew, some of that may be his particular structure. Having never seen Roland in person I can only guess, but I suspect he has retroverted hips. This would make it difficult to even stand with parallel feet, let alone squat that way.
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In regards to the feet being out of line with each other. Get 2 wooden dowel rods. Stand in your squat postion at home, and do a few BW squats. Without moving your feet, line one rod up that goes across both of your heels. Line the other one up going across your toes on both feet. Now step out and take a look.
For as long as I've been a golfer, this is still a problem that sneaks up on me from time to time. It's hard to see yourself as not lining up straight cause it "feels" right.