For a mechanical system with multiple degrees of freedom, which of the following conditions must be true at an equilibrium point for the system to be in stable mechanical equilibrium?
W) The Jacobian of potential energy has only positive eigenvalues
X) The Jacobian of potential energy has only negative eigenvalues
Y) The Hessian of potential energy has only positive eigenvalues
Z) The Hessian of potential energy has only negative eigenvalues
✔️Answer:Z) The Hessian of potential energy has only negative eigenvalues
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