- #1
ovidiupetre
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Homework Statement
http://img13.imageshack.us/img13/5793/84188411.jpg
Homework Equations
Find a condition on b such that x = 0 is a local minimum of the potential function.
The Attempt at a Solution
To find local minimum, potential function (V) of the system should be written. V must be positive definite and derivative of V must be negative semi definite. I tried to write hundreds of potential functions that provide local minimum constraints but i can't get rid of sin and cos terms from derivative of V so i couldn't find a condition for b to show x = 0 is a local minimum of the potential function.
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