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milano2006_popov - X-Ray
milano2006_popov - X-Ray

Simple Harmonic Motion & Elasticity
Simple Harmonic Motion & Elasticity

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... 1. Formulate Hamilton’s principle (the principle of least action) and use it to derive Lagrange’s equations of motion for a system with s degrees of freedom. What is called the number of degrees of freedom? What are the properties of the Lagrangian of a mechanical system? What is the Lagrangian for ...
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Negative mass

In theoretical physics, negative mass is a hypothetical concept of matter whose mass is of opposite sign to the mass of normal matter, e.g. −2 kg. Such matter would violate one or more energy conditions and show some strange properties, stemming from the ambiguity as to whether attraction should refer to force or the oppositely oriented acceleration for negative mass. It is used in certain speculative theories, such as on the construction of wormholes. The closest known real representative of such exotic matter is a region of pseudo-negative pressure density produced by the Casimir effect. Although general relativity well describes gravity and the laws of motion for both positive and negative energy particles, hence negative mass, it does not include the other fundamental forces. On the other hand, although the Standard Model well describes elementary particles and the other fundamental forces, it does not include gravity, even though gravity is intimately involved in the origin of mass and inertia. A model that explicitly includes gravity along with the other fundamental forces may be needed for a better understanding of the concept of negative mass.
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