Question

how do you prove that
an object on a ramp resolved into it's gravity components were the x dreiction is down the ramp and the y direction is the direciton of the normal force

Force of gravity
x component /\
|Normal force
<_____|
| /|OBJECT
| /1|
|2 / |Force of graviy
| /Fg | y component
|/____|
\/ \/
the angles at one and 2 are equal to each other and that they are equal to the angle the ramp makes with the surface it sits on...
/|
/ |
OBJECT / |
/ |
/ |
/ |ramp
/3 |
--------
surface ramp sits on

in order to say

force of gravity x component is equal to mg sin theta

and that force of gravity y component is equal to mg cos theta

theta being the angle that the angle the ramp makes with the surface it rests on (angle 3)

Angle three would have to be equal to angles 1 and 2 in the picture I drew up there of resolving gravity to its components

SO... how do I prove those three angles are equal

it's been a while sense I took geometry

you might need to understand basic physics to understand the picture I drew of gravity resolve to its components of a object on ramp

THANKS!!!
It's been killing I have to know what allows us to say those angles are equal to each other

Answer 1

............../\
Force of......|Normal force
gravity.<_____|
x compon|..../|OBJECT
et......|.../1|
........|2 /. |Force of graviy
........| /Fg | y component
........|/____|
........\/... \/

Answer 2

Well I tried...
Your processor couldn't take it lol

basically you know
how do you prove that the angle the ramp makes with the surface that is sits on is equal to the two angles that allow you to say

force of gravity x component is equal to mg sin theta

and that force of gravity y component is equal to mg cos theta

Answer 3

we you resolve the force of gravity into it's x components and y componetns you have two angles that make two traiangles

these two angles are equal to each other and also equal to angle the ramp makes with the surface that it sits on

how do I prove these angles are equal to each other???

Answer 4

I tried it's kind of hard wihout a picture tried to make one but your processor screwed it up lol let me know if you don't know what i'm talking about...

Answer 5

These boards do not allows diagrams because of the spacing problem. It allows one space but that's all. 15 spaces is just one space. 100 spaces is one space.

Answer 6

ok thanks
do you know the proof?

Answer 7

another attempt

............../\
Force of......|Normal force
gravity.<_____|
x compon|..../|OBJECT
et......|.../1|
........|2 /..|Force of graviy
........| /Fg.| y component
........|/____|
........\/... \/

Answer 8

test 15 spaces
test 100 spaces

Answer 9

If you want to do tables, this works fairly well.
number ....gender .....age
12......... male........14
13......... female......16
etc.

Answer 10

lol it didn't do anything
++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++/|\
++++++++++++++++++++++++++++++|
++++++++++++++++++++++++++++++|Normal
Force of++++++++++++++++++++++|Force
gravity++++++++<--------------|
xcomponent+++++|+++++++++++++/|
+++++++++++++++|++++++++++++/1|
+++++++++++++++|+++++++++++/++|
+++++++++++++++|++++++++Fg/+++|
+++++++++++++++|+++++++++/++++|
+++++++++++++++|++++++++/+++++|
+++++++++++++++|+++++++/++++++|
+++++++++++++++|++++++/+++++++|
+++++++++++++++|+++++/++++++++|Foce of
+++++++++++++++|++++/+++++++++|gravity
+++++++++++++++|+++/++++++++++|y
+++++++++++++++|++/+++++++++++|component
+++++++++++++++|2/++++++++++++|
+++++++++++++++|/+++++++++++++|
++++++++++++++\/--------------\/

Answer 11

wow no I'm not doing talbes this is physics
++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++/|\
++++++++++++++++++++++++++++++|
++++++++++++++++++++++++++++++|Normal
Force+of++++++++++++++++++++++|Force
gravity+++++++<|------------------------|
x+component+++++|+++++++++++++/|
+++++++++++++++|++++++++++++/1|
+++++++++++++++|+++++++++++/++|
+++++++++++++++|++++++++Fg/+++|
+++++++++++++++|+++++++++/++++|
+++++++++++++++|++++++++/+++++|
+++++++++++++++|+++++++/++++++|
+++++++++++++++|++++++/+++++++|
+++++++++++++++|+++++/++++++++|Foce of
+++++++++++++++|++++/+++++++++|gravity
+++++++++++++++|+++/++++++++++|y
+++++++++++++++|++/+++++++++++|component
+++++++++++++++|2/++++++++++++|
+++++++++++++++|/+++++++++++++|
++++++++++++++\/------------------------\/

Answer 12

another atempt
++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++/|\
++++++++++++++++++++++++++++++|
++++++++++++++++++++++++++++++|Normal
Force+of++++++++++++++++++++++|Force
gravity+++++++<|---------------------------|
x+component+++++|+++++++++++++/|
+++++++++++++++|++++++++++++/1|
+++++++++++++++|+++++++++++/++|
+++++++++++++++|++++++++Fg/+++|
+++++++++++++++|+++++++++/++++|
+++++++++++++++|++++++++/+++++|
+++++++++++++++|+++++++/++++++|
+++++++++++++++|++++++/+++++++|
+++++++++++++++|+++++/++++++++|Foce of
+++++++++++++++|++++/+++++++++|gravity
+++++++++++++++|+++/++++++++++|y
+++++++++++++++|++/+++++++++++|component
+++++++++++++++|2/++++++++++++|
+++++++++++++++|/+++++++++++++|
++++++++++++++\/---------------------------\/