iTeachChem•9mo ago

Electrostatics / Mechanics

how

iTeachChem Helper•4/12/25, 1:59 PM

@Gyro Gearloose

iTeachChem Helper•4/12/25, 1:59 PM

Note for OP

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AetherflyOP•4/12/25, 2:09 PM

AetherflyOP•4/12/25, 2:10 PM

ghost ping

Opt•4/12/25, 2:10 PM

Yeah, I took components wrong

AetherflyOP•4/12/25, 2:10 PM

can u explain how do I start

Opt•4/12/25, 2:19 PM

,rotate

TeXit•4/12/25, 2:20 PM

Opt•4/12/25, 2:20 PM

x is position of Q, y is position of q

Opt•4/12/25, 2:20 PM

I started off here

TTeXit Click to see attachment

AetherflyOP•4/12/25, 2:22 PM

hmm

AetherflyOP•4/12/25, 2:22 PM

I got this differential eqn

AetherflyOP•4/12/25, 2:22 PM

but I dont know what to do after that

OOpt I started off here

AetherflyOP•4/12/25, 2:27 PM

does it require some subsitition

Opt•4/12/25, 2:27 PM

That's what I'm thinking

Opt•4/12/25, 2:29 PM

Ok, yeah, square both equations and add them
Take x²+y² = r²

OOpt Ok, yeah, square both equations and add them Take x²+y² = r²

AetherflyOP•4/12/25, 2:30 PM

what does that do

Opt•4/12/25, 2:30 PM

Just a sec, I'm checking if it works

AetherflyOP•4/12/25, 2:30 PM

alright

Opt•4/12/25, 2:36 PM

Damn no, it doesn't help

AetherflyOP•4/12/25, 2:37 PM

sad

AetherflyOP•4/12/25, 2:40 PM

what if we try centre of mass?

Opt•4/12/25, 2:40 PM

Oh wait it does work

AetherflyOP•4/12/25, 2:41 PM

Opt•4/12/25, 2:41 PM

Ok, so, consider the point (x,y) right?

AetherflyOP•4/12/25, 2:41 PM

Opt•4/12/25, 2:41 PM

Now, it's an imaginary point such that its x component is the position of Q, and y component is position of q.

Opt•4/12/25, 2:41 PM

These equations of motion we got apply to it

AetherflyOP•4/12/25, 2:41 PM

yup

Opt•4/12/25, 2:42 PM

But by squaring both and adding, we get a single dimensional equation in acceleration and it's position

AetherflyOP•4/12/25, 2:42 PM

yes

Opt•4/12/25, 2:42 PM

And once it's a single dimension motions, we can solve right?

AetherflyOP•4/12/25, 2:43 PM

wait a single dimentional

AetherflyOP•4/12/25, 2:43 PM

ok yes

AetherflyOP•4/12/25, 2:43 PM

yes ong

AetherflyOP•4/12/25, 3:01 PM

ok so I got this

AetherflyOP•4/12/25, 3:02 PM

a = b/r^2

AetherflyOP•4/12/25, 3:03 PM

@Opt

AetherflyOP•4/12/25, 3:03 PM

arent we deriving what we would get using energy conservation?

Original message was deleted

AetherflyOP•4/12/25, 3:11 PM

whats a

Opt•4/12/25, 3:12 PM

No, it's a=b/r²

Opt•4/12/25, 3:13 PM

But there is an issue. We can't take components.

Opt•4/12/25, 3:13 PM

@SirLancelotDuLac I think you should take a look

OOpt But there is an issue. We can't take components.

AetherflyOP•4/12/25, 3:13 PM

what

AetherflyOP•4/12/25, 3:13 PM

why

AetherflyOP•4/12/25, 3:13 PM

we assume r to be a vecot

AetherflyOP•4/12/25, 3:13 PM

(x,y) = (r, theta)

Opt•4/12/25, 3:13 PM

Yes, but our equation here is strictly for the absolute value (length)

AAetherfly (x,y) = (r, theta)

Opt•4/12/25, 3:14 PM

Ok, that's not how it works, just saying.