A particle is acted upon by a force given by F = -\alphax^3-\betax^4 where \alpha and \beta are positive constants. At the point x = 0, the particle is

Correct Answer is : in neutral equilibrium

KVPY SX SB Exam 2012 Question Paper

Question : 34 of 120

Marks: +1, -0

A particle is acted upon by a force given by

F = -αx^3-βx^4

where

α

and

β

are positive constants. At the point x = 0, the particle is

Solution:

-{dU}/{dx}=F

({dU}/{dx})_{x=0}=0

and

({d^2U}/{dx^2})_{x=0}=0

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