# I Relate inclined plane's angle of incline to FBD's weight COM

1. Aug 22, 2016

### Tyrannosaurus_

Please show me the relationship that proves how an inclined plane's angle of incline, θ, is equal to the angle used to find the components of gravity force.

I know that the angles are the same, but I'd like a way to show it.

Thanks!

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2. Aug 23, 2016

### billy_joule

3. Aug 23, 2016

### Tyrannosaurus_

I understand similar triangles.

I am looking for a relationship that is simple to communicate with students. Currently, I use a physical model with a weighted string, & some cardboard arrows to show the x & y axis.

All help & discussion is appreciated.
I would appreciate it a little more if you could find, or show me the relationship explicitly; instead of, implying the relationship is there, & I'm too stupid to figure it out. I'd like the proof. I expect parallel line theorem is used. Is this true? Can someone show this to me, please.

Thank you!

4. Aug 23, 2016

### A.T.

5. Aug 24, 2016

### Tyrannosaurus_

Elegant & Exact.
A sincere Thank You!