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"nonlinear mechanical effect" on a pendulum

Discussion in 'MCAT Study Question Q&A' started by sc4s2cg, Jun 14, 2012.

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  1. sc4s2cg


    May 24, 2010
    Medical Student
    SDN 2+ Year Member

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    PBRI 5.1, #6:

    What is an example of a nonlinear mechanical effect?

    a) Air resistance caused by localized eddies in the evacuated jar
    b) Thermal expansion of the fulcrum due to friction
    c) Induced electrical current in the moving bob
    d) Deformation of the cable caused by centripetal acceleration

    Answer is D, but I am unfamiliar with the terms "nonlinear mechanical effect" and "eddies".
  2. RocketSurgeon


    Dec 25, 2010
    SDN 2+ Year Member
    Linear implies in 2-D an equation the form y = mx + b. If you plot x and y you get a straight line in 3-D you get a plane z = ax + by + c. Google this "plot 3x+4y+4"

    Non-Linear equations have a higher order polynomial term or non linear terms in the equations for example. max operator max(a,b) or y = (x^2):thumbup:.

    Deformation of a cable is non linear because if force x increases by one unit the length y does not increase in the form y = mx + b but in some non linear way for example y = log(x).

    A visual way to think of this is

    Increase -->
    Force : |_|_|_|_|_|_|_|_|_|
    Length : |_|__|___|____|_____|

    Hope this helps

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