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  2. Hooke's law - Wikipedia

    en.wikipedia.org/wiki/Hooke's_law

    According to this formula, the graph of the applied force F s as a function of the displacement x will be a straight line passing through the origin, whose slope is k. Hooke's law for a spring is also stated under the convention that F s is the restoring force exerted by the spring on whatever is pulling its free end.

  3. Stress–strain curve - Wikipedia

    en.wikipedia.org/wiki/Stress–strain_curve

    After the neck has formed in the material, further plastic deformation is concentrated in the neck while the remainder of the material undergoes elastic contraction owing to the decrease in tensile force. The stress–strain curve for a ductile material can be approximated using the Ramberg–Osgood equation. [2]

  4. Force-directed graph drawing - Wikipedia

    en.wikipedia.org/wiki/Force-directed_graph_drawing

    Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...

  5. Fourth, fifth, and sixth derivatives of position - Wikipedia

    en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth...

    Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.

  6. Motion graphs and derivatives - Wikipedia

    en.wikipedia.org/wiki/Motion_graphs_and_derivatives

    Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is the displacement of the object. (Velocity is on the y-axis and time on the x-axis. Multiplying the velocity by the time, the time cancels out, and only displacement remains.)

  7. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    A force arrow should lie along the line of force, but where along the line is irrelevant. A force on an extended rigid body is a sliding vector. non-rigid extended. The point of application of a force becomes crucial and has to be indicated on the diagram. A force on a non-rigid body is a bound vector. Some use the tail of the arrow to indicate ...

  8. Bond graph - Wikipedia

    en.wikipedia.org/wiki/Bond_graph

    A bond graph is a graphical representation of a physical dynamic system. ... Relationship between force and displacement, also known as Hooke's law. The negative sign ...

  9. Linear motion - Wikipedia

    en.wikipedia.org/wiki/Linear_motion

    These relationships can be demonstrated graphically. The gradient of a line on a displacement time graph represents the velocity. The gradient of the velocity time graph gives the acceleration while the area under the velocity time graph gives the displacement. The area under a graph of acceleration versus time is equal to the change in velocity.