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Homework Help: physcs (Geometry bit)

Posted by physcs (Geometry bit) on Monday, August 10, 2009 at 10:35am.

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) - physcs (Geometry bit), Monday, August 10, 2009 at 10:39am

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

• physcs (Geometry bit) - physcs (Geometry bit), Monday, August 10, 2009 at 10:40am

  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) - physcs (Geometry bit), Monday, August 10, 2009 at 10:42am

  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) - physcs (Geometry bit), Monday, August 10, 2009 at 10:43am

  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) - DrBob222, Monday, August 10, 2009 at 11:09am

  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) - physcs (Geometry bit), Monday, August 10, 2009 at 11:12am

  ok thanks
  do you know the proof?
  

• physcs (Geometry bit) - physcs (Geometry bit), Monday, August 10, 2009 at 11:13am

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

• physcs (Geometry bit) - physcs (Geometry bit), Monday, August 10, 2009 at 11:14am

  test 15 spaces
  test 100 spaces
  

• physcs (Geometry bit) - DrBob222, Monday, August 10, 2009 at 11:30am

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

• physcs (Geometry bit) - physcs (Geometry bit), Monday, August 10, 2009 at 11:32am

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

• READ I FIXED IT - READ I FIXED IT, Monday, August 10, 2009 at 11:37am

  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) - READ I FIXED IT, Monday, August 10, 2009 at 11:39am

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

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