Imagine we have two simple gears with different radii that are connected, with each gear on its own axis. If we fix the smaller gear so that it cannot rotate, then apply a force to the edge of the larger gear (perpendicular to its radius), the force applied to the smaller gear by the larger gear...
This is such a basic question that I'm embarrassed to even ask it but I don't really know where else to turn. I was reading through a derivation and one of the steps goes from \frac{\sqrt{a}}{n} = \frac{\sqrt{A}}{n+m}
to
n = \frac{\sqrt{a}*m}{\sqrt{A}-\sqrt{a}}
I'm getting really...
Yes, I see now how it
Yes, I see how it was confusing the way I wrote it (used a "latex" generator and couldn't figure out how to do a horizontal line for the ratio).
Thanks for your answer. It's so obvious now. It's analogous to why you could "simplify" 11/5 by turning it into a mixed...
I was taught that when you have a polynomial fraction where the denominator is of a higher degree than the numerator, it can't be reduced any further. This seems wrong to me for a couple of reasons.
1. If the denominator can be factored some of the terms may cancel out
2. Say you have the...
So this assumption isn't correct?
Edit: I see now that it's not but I don't understand why... Seems like it should be
2nd edit: my problem was that I was equating angle with slope. I like math... Too bad I'm so bad at it! :/
I've never really learned any trigonometry and I'm wondering if someone could tell me where I'm going wrong here.
My reasoning is this:
The hypotenuse of a 1,1,√2 right triangle is at a 45° angle to its base.
Halving that angle should require that the base leg be doubled if the height leg is...