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  2. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    A body is said to be "free" when it is singled out from other bodies for the purposes of dynamic or static analysis. The object does not have to be "free" in the sense of being unforced, and it may or may not be in a state of equilibrium; rather, it is not fixed in place and is thus "free" to move in response to forces and torques it may experience.

  3. Statically indeterminate - Wikipedia

    en.wikipedia.org/wiki/Statically_indeterminate

    The structure has no possible states of self-stress, i.e. internal forces in equilibrium with zero external loads are not possible. Statical indeterminacy, however, is the existence of a non-trivial (non-zero) solution to the homogeneous system of equilibrium equations. It indicates the possibility of self-stress (stress in the absence of an ...

  4. Newton's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Newton's_laws_of_motion

    A state of mechanical equilibrium is stable if, when the position of the body is changed slightly, the body remains near that equilibrium. Otherwise, the equilibrium is unstable. A common visual representation of forces acting in concert is the free body diagram , which schematically portrays a body of interest and the forces applied to it by ...

  5. Mechanical equilibrium - Wikipedia

    en.wikipedia.org/wiki/Mechanical_equilibrium

    An object resting on a surface and the corresponding free body diagram showing the forces acting on the object. The normal force N is equal, opposite, and collinear to the gravitational force mg so the net force and moment is zero. Consequently, the object is in a state of static mechanical equilibrium.

  6. Euler's critical load - Wikipedia

    en.wikipedia.org/wiki/Euler's_critical_load

    The reason for no reactions can be obtained from symmetry (so the reactions should be in the same direction) and from moment equilibrium (so the reactions should be in opposite directions). Using the free body diagram in the right side of figure 3, and making a summation of moments about point x : Σ M = 0 ⇒ M ( x ) + P w = 0 {\displaystyle ...

  7. D'Alembert's principle - Wikipedia

    en.wikipedia.org/wiki/D'Alembert's_principle

    D'Alembert's principle generalizes the principle of virtual work from static to dynamical systems by introducing forces of inertia which, when added to the applied forces in a system, result in dynamic equilibrium. [1] [2] D'Alembert's principle can be applied in cases of kinematic constraints that depend on velocities.

  8. 5 pivotal 2025 contests that could also be Trump litmus tests

    www.aol.com/5-pivotal-2025-contests-could...

    Here are the key races to watch next year: New Jersey governor. New Jersey has been seen as a heavily Democratic state, won by President Biden by 16 points in 2020.

  9. Statics - Wikipedia

    en.wikipedia.org/wiki/Statics

    The static equilibrium of a particle is an important concept in statics. A particle is in equilibrium only if the resultant of all forces acting on the particle is equal to zero. In a rectangular coordinate system the equilibrium equations can be represented by three scalar equations, where the sums of forces in all three directions are equal ...