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Jan 11, 2024 · STABLE, UNSTABLE AND NEUTRAL EQUILIBRIUM. Stable Equilibrium: A body is in stable equilibrium if it comes back to its normal position on slight displacement. Examples (1) A ball in the valley between two hills. a small displacement of the ball toward either side will result in a force returning the ball to the original position.
The conditions of determinacy, indeterminacy, and instability of beams and frames can be stated as follows: \[\begin{array}{l} 3 m+r<3 j+C \text { Structure is statically unstable} \\ 3 m+r=3 j+C \text { Structure is statically determinate}\\ 3 m+r>3 j+C \text { Structure is statically indeterminate} \end{array}\]
May 28, 2020 · Stable, Unstable, and Neutral Equilibrium - YouTube. Flipping Physics. 139K subscribers. 2.3K. 128K views 4 years ago Statics: Moments and Torque - A Level Physics. Descriptions and...
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Eigenvalues can be used to determine whether a fixed point (also known as an equilibrium point) is stable or unstable. A stable fixed point is such that a system can be initially disturbed around its fixed point yet eventually return to its original location and remain there.
🔗. An indeterminate system with fewer reaction components than degrees of freedom is under-constrained and therefore unstable. On the other hand, if there are more reaction components than degrees of freedom, the system is both over-constrained and indeterminate.
A system in unstable equilibrium accelerates away from its equilibrium position if displaced even slightly. An obvious example is a ball resting on top of a hill. Once displaced, it accelerates away from the crest. See the next several figures for examples of unstable equilibrium. Figure 3.
Explicitly, if the potential is concave-up at x 0, \(\mathrm{\frac{d^2U(x)}{dx^2}|_{x_0}>0}\), then the system is stable; conversely, if the potential is concave-down, then the equilibrium is unstable.
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