A community for students.
Here's the question you clicked on:
 0 viewing
Abhisar
 one year ago
A particle moves in a potential region given by \(\sf U=8x^24x+400\) J. Its state of equilibrium will be
Abhisar
 one year ago
A particle moves in a potential region given by \(\sf U=8x^24x+400\) J. Its state of equilibrium will be

This Question is Closed

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2we have to request that the subsequent condition holds: \[\Large \frac{{\partial U}}{{\partial x}} = 0\]

Abhisar
 one year ago
Best ResponseYou've already chosen the best response.0Oh, so you mean we have to solve the equation for u=0?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2not for U=0, its first derivative with respect to x has to be equal to zero, since, in a field of force coming from a potential, the relationship between force and potential energy is: \[\Large {\mathbf{F}} =  \nabla U\]

Abhisar
 one year ago
Best ResponseYou've already chosen the best response.0Ok, yes. Thanks a bunch c:

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2thus we get the subsequent condition: \[\Large {x_0} = \frac{1}{4}\] as equilibrium position

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0now, the sign of the second derivative at this point, will determine whether this equilibrium point is stable or unstable

Abhisar
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see, thanks for the info Felix c:
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.