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physcs (Geometry bit)

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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

  • physcs (Geometry bit) -

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

  • physcs (Geometry bit) -

    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

  • physcs (Geometry bit) -

    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???

  • physcs (Geometry bit) -

    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...

  • physcs (Geometry bit) -

    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.

  • physcs (Geometry bit) -

    ok thanks
    do you know the proof?

  • physcs (Geometry bit) -

    another attempt

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

  • physcs (Geometry bit) -

    test 15 spaces
    test 100 spaces

  • physcs (Geometry bit) -

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

  • physcs (Geometry bit) -

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

  • READ I FIXED IT -

    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/++++++++++++|
    +++++++++++++++|/+++++++++++++|
    ++++++++++++++\/------------------------\/

  • physcs (Geometry bit) -

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

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