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KVPY2012PhysicsCenter of Mass, Momentum and Collision

A particle is acted upon by a force given by F=- x³- x⁴ where and are positive constants. At the point x =0 , the particle is -

Options

  1. AIn stable equilibrium
  2. BIn unstable equilibrium
  3. CIn neutral equilibrium
  4. DNot in equilibrium

Correct answer

C. In neutral equilibrium

Step-by-step solution

- d U dx = F , ( d U dx )_ x =0 =0 and ( d ² U dx ² )_ x =0 =0

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