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Ryder Rude
15:57
so u multiplied all the equations, and u got $\frac{\Delta v_1 \Delta v_2 \Delta v_3}{\Delta v_1' \Delta v_2' \Delta v_3'}=-1$
123
Pls add recently in my sentence.
Ryder Rude
is this correct?
123
@RyderRude Yes
ACuriousMind
←
4 messages moved from
The h Bar
Ryder Rude
now, u were supposed to compute k12 k23 k31. Is this correct
123
16:00
Ooops ACM kicked us from room permanently
Ryder Rude
no. u can still post there
just not this discussion. Let's finish it here
123
No i can't see that room
Ryder Rude
Click on this
chat.stackexchange.com/rooms/71/the-h-bar
123
Oooh yes now i can see
Okay continue... Thanks
@RyderRude Yes this is way i found -1
Ryder Rude
but the LHS is not k12k23k31
123
16:03
@RyderRude Yes
Ryder Rude
so u proved that whatever the LHS is, is -1. But u didn't show that k12k23k31 is -1
so now we will compute k12k23k31
123
@RyderRude No this is actually +1
Ryder Rude
-1/2 x -3 x -2/3 = -1
how is this +1
123
$\frac{\Delta{V_1}}{\Delta{V_2}} = - K_{12}$
Ryder Rude
so?
123
16:06
$\frac{\Delta{V_2}}{\Delta{V_3}} = - K_{23}$
$\frac{\Delta{V_3}}{\Delta{V_1}} = - K_{31}$
Ryder Rude
let's make one thing clear. Do u think -1/2 is K12
123
Multiply all three equations together
@RyderRude Oooh i see
I need to move this minus sign to other side
@RyderRude But -1/2 given by experiment
Oooo ooooooo now i understand
Ryder Rude
are u using k12=-1/2. Yes or no?
123
Oookay.... i picked the point
Ryder Rude
ok :)
123
16:09
I was treating minus sign separate with constant
Ryder Rude
u realise that K12 is 1/2, right?
then ur problem is solved
123
Let me do it again with pen and paper
Ryder Rude
no... It is fine
123
Thanks pls give me few minutes
Ryder Rude
no... pls don't do it again. It is fine
u understood that k12 is 1/2, there is no need to do it on paper
123
16:12
What we do with the minus sign?
It will go to the other side of equation?
Ryder Rude
yeah
remember the definition of k12, the book wrote a1/a2= - k12. therefore, k12= -a1/a2
123
Pls do calculation. I think the way you wrote again give minus sign. Because there are three equations
Ryder Rude
idk what to say now...
123
If i take $K_{12} = -1/2$ along with minus sign then it gave me plus sign.
I have checked it with paper.
Ryder Rude
did u use k23= -3 and k31= -2/3?
123
16:17
Let me show you on paper. Finally i found $F_2 = F_3$
Let me share you calculation.
What ever convention i used. The final result is $F_2 = F_2$
Ryder Rude
again, k12= - a1/a2, not +a1/a2!
123
Pls calculate yourself here. At your own using my values
Ryder Rude
calculate what
123
Let me share you what you said
Oooh i found the correct result...
I was doing this other way. That's why i was getting wrong result
Ryder Rude
great
123
16:27
I was multiplying both sides of equation
Ryder Rude
oh
glad we corrected everything...
:)
123
:D
Basically i never used that way before in my life.
I always did multiplying both sides of equation
Ryder Rude
it happens. We learn new things everyday..
123
Thanks for your patience
Ryder Rude
u r welcome
123
16:31
It means we are treating constants multiplication separately as a value.
Not using mathematical way of multiplying equations
Am i correct?
Ryder Rude
what do u mean
123
Look at my page above where i created big square box
Ryder Rude
@123 the biggest square?
123
Yes
Ryder Rude
i see it
i dont see anything non mathematical...
which step do u mean exactly
123
16:33
This is what i meant. Treat constants multiplication separately
Ooookay... It means all these things are equal to each other.
Ryder Rude
the constants in the middle vertical line? 1/2, 3, and 2/3?
123
Yes
Ryder Rude
ooh so initially u have this three way equation. All these three are equal, so u can forget about the left vertical line
123
Now the correct way thinking is that. Use constants and values multiplication
Ryder Rude
yes..
maybe
123
16:36
And left side equality outside the big bracket are also equal. Then utilize that
Ryder Rude
like, u have two equations like a=b=c, and d=e=f. U can multiply to get ad=be=cf
it's not a new rule. It follows from the usual rules
@123 yes
a=b=c implies b=c, and d=e=f implies e=f
123
Yes.... Basically i was confused when i didn't write equation with values
That's why always i found minus sign
Ryder Rude
ooh
123
Book used values and constants multiplication. not the outside the big bracket
Ryder Rude
yes. u have to get used to manipulations like this. It is a part of math too
123
16:40
I am used to this type of calculations
Ryder Rude
but u were confused about this manipulation...
123
Problem was that i wasn't writing values of constants
Ryder Rude
oh
123
Now i get the correct idea of getting +1
Ryder Rude
Great
123
16:42
I was doing left and right side multiplication. not using the middle and left
By the way.... Thanks for your patience
Now i am completely satisfied with the newton's law. Thanks my friend.
How old are you?
Ryder Rude
ok :)
123
If you don't mind
Ryder Rude
I'm going back to the main room :)
123
Sure me too...
Ryder Rude
cya
123
16:46
Cya in main room
user430580
17:28
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