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Astrophysics
 one year ago
@empty
Astrophysics
 one year ago
@empty

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Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I made a post cause I had odd number questions asked and that looked gross

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Now find the force law for a central force field that allows a particle to move in a logarithmic spiral orbit given by \[r = k e^{\alpha \theta}\], where k and alpha are constants

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I guess I should give you some things that will help you lol, \[\frac{ d^2 }{ d \theta ^2 } \left( \frac{ 1 }{ r } \right)+\frac{ 1 }{ r } = \frac{ \mu r^2 }{ l^2 }F(r)\] it's pretty easy actually

Empty
 one year ago
Best ResponseYou've already chosen the best response.2lol what is all of this I've never seen this before

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is a university physics I assume?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Fansy stuff hitting the fan

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2This has to do with central force motion, I just assume you know everything

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know the centripetal acceleration but never heard of central force

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Err this will take some time to explain

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I say we shoot each other with physics knowledge

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am although a classical physicist

Empty
 one year ago
Best ResponseYou've already chosen the best response.2I could probably figure this out but I feel like there's some method of doing this or reason for doing this.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There is reason for everything

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Especially physics is a process of becoming a god

Empty
 one year ago
Best ResponseYou've already chosen the best response.2Haha cool so what about chemistry?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Chemistry is more earthy application based study

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is nothing theoretical about it whereas physics most are

Empty
 one year ago
Best ResponseYou've already chosen the best response.2Oh what do you know about chemistry?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0empirical vs theoretical

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Chemistry is all knowable

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Everything is empirical in chemistry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Physics mostly rely on the unreasonable effectiveness of mathematics at explaining the physical phenomena.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0anyway let's get down to the central force business

Empty
 one year ago
Best ResponseYou've already chosen the best response.2Hahaha "Everything is empirical in chemistry"

Empty
 one year ago
Best ResponseYou've already chosen the best response.2I'll be damned if there aren't 8 things listed here: https://en.wikipedia.org/wiki/Theoretical_chemistry#Branches_of_theoretical_chemistry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0central force depends on the distance between spherically symmetric object and the object being pondered

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2It has to do with the motion of a system consisted of two bodies affected by a force that is directed along the line connecting the centres of the two bodies, this is the central force. dw:1438444424125:dw

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2This sort of requires you to understand lagrangian

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0According to the theory everything with a mass has central force to it however minuscule they are

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that equation digs up my nostalgia on universal gravitation

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Actually, since I'm too lazy to derive it as it takes too long xD, just read this, if you want... http://www.astro.uwo.ca/~houde/courses/PDF%20files/physics350/Central_force.pdf

Empty
 one year ago
Best ResponseYou've already chosen the best response.2I can derive the eulerlagrange equation with calculus but that's just math and I get that the action gets minimized L=TU pretty clearly. I guess the question is how do you find the kinetic and potential energy of this system in the first place?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yeah, pretty much

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Quit giving each other medals

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1try to draw a path of the log central force

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1I can't see the log playing out, just yet

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{ d }{ d \theta } \left( \frac{ 1 }{ r } \right) = \frac{ d }{ d \theta } \left( \frac{ e^{ \alpha \theta} }{ k } \right) = \frac{  \alpha e^{\alpha \theta} }{ k }\] \[\frac{ d^2 }{ d \theta^2 } \left( \frac{ 1 }{ r } \right) = \frac{ \alpha^2 }{ r }\] \[F(r) = \frac{ l^2 }{ \mu r^2 }\left( \frac{ \alpha ^2 }{ r } +\frac{ 1 }{ r }\right) = \frac{  l^2 }{ \mu r^3 }(\alpha ^2+1)\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2The force law is attractive inverse cube

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2If you want to do something for fun find r(t) and theta (t)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Originally \[\frac{ d^2 }{ d \theta ^2 } \left( \frac{ 1 }{ r } \right)+\frac{ 1 }{ r } = \frac{ \mu r^2 }{ l^2 }F(r)\]

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1looks mathematically legit

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1I am a little hurt when you said chemistry is more earthlybased :(

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2How is chemistry earthly based

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2It all started from helium and hydrogen being composed in stars, don't get me started please...

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1oh that was another dude hahaha nvm

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1FOUND IT http://www.dartmouth.edu/~phys44/lectures/Chap_4.pdf
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