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- A system is said to be in stable equilibrium if, when displaced from equilibrium, it experiences a net force or torque in a direction opposite the direction of the displacement. A system is in unstable equilibrium if, when displaced from equilibrium, it experiences a net force or torque in the same direction as the displacement from equilibrium.
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Explain the relationship between how center of mass is defined and static equilibrium. For an object to be in static equilibrium, we expect it to stay in the same state indefinitely. If it starts accelerating away from its current position, it would hardly be in equilibrium.
The condition for stability is that \(\RDelta G > 0\) for all \((\RDelta S,\RDelta V)\). Stability therefore requires that the Hessian matrix \(Q\) be positive definite, with \[Q=\begin{pmatrix} {\pz^2\! E\over\pz S^2} & {\pz^2\! E\over\pz S\,\pz V} \\ & \\ {\pz^2\! E\over\pz S\,\pz V} & {\pz^2\! E\over\pz V^2} \end{pmatrix}\ .\]
9.3 Stability. Summary. State the types of equilibrium. Describe stable and unstable equilibriums. Describe neutral equilibrium. It is one thing to have a system in equilibrium; it is quite another for it to be stable. The toy doll perched on the man’s hand in Figure 1, for example, is not in stable equilibrium.
1. A round pencil lying on its side as in Figure 4 is in neutral equilibrium relative to displacements perpendicular to its length. What is its stability relative to displacements parallel to its length? 2. Explain the need for tall towers on a suspension bridge to ensure stable equilibrium.
In Physics I For Dummies, you’ll find a roadmap to physics success that walks you through every major topic in introductory physics, including motion, energy, waves, thermodynamics, electromagnetism, relativity, and more.
Summary. State the types of equilibrium. Describe stable and unstable equilibriums. Describe neutral equilibrium. It is one thing to have a system in equilibrium; it is quite another for it to be stable. The toy doll perched on the man’s hand in Figure 1, for example, is not in stable equilibrium.
Apr 12, 2022 · In Physics I For Dummies, you’ll find a roadmap to physics success that walks you through every major topic in introductory physics, including motion, energy, waves, thermodynamics,...
