I stumbled across this while doing some problems, and wanted to make sure it's true. My teacher isn't great. Physics isn't her specialty, but that's what you get at community college.
Anyways, while trying to find the critical angle at which an object will start to move, I realized that it...
This is what I did:
F_x\leq\mu_s N=\mu_s\left(mg+F\cos{\theta}\right)
...and then I would simplify. But unfortunately, I was expecting the "F"s to cancel out, meaning the force didn't matter at that critical angle. They didn't obviously. Did I set this up correctly? If not, where did I go...
In my physics lab, we have to derive an equation. The equation is for a 45, 45, 90 degree triangle. An beam of light hits the surface, then refracts. The refracted beam hits the second surface at the critical angle and refracts along the surface. Here's a crude pic of what I'm talking about...
You are standing on the edge of a pool and a person is swimming towards you under the water. Before the person is close enough to reach the critical angle of your line of sight, what would you see?
Critical angle...
Is the formula:
sin(critical angle) = 1/ mu, only true light is moving from one medium into air/ a vacuum?
Thanks in advance. :smile:
The equation relating these is :
sine(critical angle) = refractive index between 2 meterials.
Could someone please supply a proof for this?
Also, as a side question :wink: , is there a proof for the sin i / sin r = v1/ v2 , not including the one in which you draw triangles and...