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  2. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    where p i = momentum of particle i, F ij = force on particle i by particle j, and F E = resultant external force (due to any agent not part of system). Particle i does not exert a force on itself. Torque. Torque τ is also called moment of a force, because it is the rotational analogue to force: [8]

  3. Stress resultants - Wikipedia

    en.wikipedia.org/wiki/Stress_resultants

    As a consequence the three traction components that vary from point to point in a cross-section can be replaced with a set of resultant forces and resultant moments. These are the stress resultants (also called membrane forces, shear forces, and bending moment) that may be used to determine the detailed stress state in the structural element. A ...

  4. Castigliano's method - Wikipedia

    en.wikipedia.org/wiki/Castigliano's_method

    Castigliano's method for calculating displacements is an application of his second theorem, which states: If the strain energy of a linearly elastic structure can be expressed as a function of generalised force Q i then the partial derivative of the strain energy with respect to generalised force gives the generalised displacement q i in the direction of Q i.

  5. Resultant force - Wikipedia

    en.wikipedia.org/wiki/Resultant_force

    In physics and engineering, a resultant force is the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body via vector addition. The defining feature of a resultant force, or resultant force-torque, is that it has the same effect on the rigid body as the original system of forces. [ 1 ]

  6. Couple (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Couple_(mechanics)

    A single force acting at any point O′ of a rigid body can be replaced by an equal and parallel force F acting at any given point O and a couple with forces parallel to F whose moment is M = Fd, d being the separation of O and O′. Conversely, a couple and a force in the plane of the couple can be replaced by a single force, appropriately ...

  7. Reaction (physics) - Wikipedia

    en.wikipedia.org/wiki/Reaction_(physics)

    Simultaneously, the ground exerts upward force on the person ('reaction'). If this upward force is greater than the person's weight, this will result in upward acceleration. When these forces are perpendicular to the ground, they are also called a normal force. Likewise, the spinning wheels of a vehicle attempt to slide backward across the ground.

  8. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    In physics and engineering, a free body diagram (FBD; also called a force diagram) [1] is a graphical illustration used to visualize the applied forces, moments, and resulting reactions on a free body in a given condition. It depicts a body or connected bodies with all the applied forces and moments, and reactions, which act on the body(ies).

  9. Net force - Wikipedia

    en.wikipedia.org/wiki/Net_force

    This method involves drawing forces , and from the tip of the first force. The resulting force, or "total" force, = +, is then drawn from the start of the first force (the tail) to the end of the second force (the tip). Grasping this concept is fundamental to understanding how forces interact and combine to influence the motion and equilibrium ...