Posted by physics (geometry bit) on Tuesday, August 11, 2009 at 9:52am.
You still dont have it exactly. The angle equal to theta(ramp) is the other angle in the triangle in bold, at the top.
How to prove this? Similar triangles. Notice the upper angle in that photo is a right angle (ramp to Fn), in which the angle of Fn to the vertical is an angle complement to Fp and the vertical. Well, the ramp angle is also a complement to that angle. Therefore, ramp angle = angle Fn to vertical.
your image didn't work
link didn't got to image
It goes there for me.
not for me =[
h t t p : / /i m g1 3 2 . i ma g e s h a c k. u s / i m g1 3 2 / 9 1 3 7 /c a p tu r e t q i. j p g
could you try image shack upload (link below) I don't know why it wouldn't let me see it i captured the screen when i clicked on the link it's the link above
h t t p : / / i m a g e s h a c k . u s /
when i click on your link it bring me here
h t t p : / / ww w . a n g e l f i r e . l yc o s . c o m / d o c / im ag e s / r l o a d b l oc k . j p g
i noticed a different adress then the link
ha ha i copied the lnik instead of clicking on it i got it thanks
what's fw and Fp
ohh ok um
Fw is the gravity
and Fp is the x component
Fn is the y component???
how come the x component is drawn in a weired location
but we got the triangle now thanks!!!
How to prove this? Similar triangles.
Notice the upper angle in that photo is a right angle (ramp to Fn),
yes and i agree right anlge
in which the angle of Fn to the vertical is an angle complement to Fp and the vertical.
ok so your saying that...
angle Fn Fw
is complement to angle
fp and fw
because triangle adds up to 180 degrees ok understand
Well, the ramp angle is also a complement to that angle.
huh so angle of the ramp is complemtary to angle Fw Fp...
ok i can visually see that but how do we now these two angles are complementary???
Therefore, ramp angle = angle Fn to vertical.
I agree... now snese both angles are completary to this other angle then they must be equal
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