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Math Help - Friction

  1. #1
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    Friction

    We are given that the friction force that is necessary to prevent a car from skidding on a curve is represented by F_s(t) = m*a_(N)*N(t). In the following problems, find the friction force that is necessary in order to keep a car of a mass of m = 100 (slugs) from skiddiing.

    1.)

    a.) r(t) = <100*cos(Pi*t), 100*sin(Pi*t)>

    b.) r(t) = <100*cos(2*Pi*t), 100*sin(2*Pi*t)>

    2.) Based on the results from 1 and 2 above, how does this required force change when we are given that the speed of some car on a curve is doubled?
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    Quote Originally Posted by Ideasman View Post
    We are given that the friction force that is necessary to prevent a car from skidding on a curve is represented by F_s(t) = m*a_(N)*N(t). In the following problems, find the friction force that is necessary in order to keep a car of a mass of m = 100 (slugs) from skiddiing.

    1.)

    a.) r(t) = <100*cos(Pi*t), 100*sin(Pi*t)>

    b.) r(t) = <100*cos(2*Pi*t), 100*sin(2*Pi*t)>

    2.) Based on the results from 1 and 2 above, how does this required force change when we are given that the speed of some car on a curve is doubled?
    a is presumably acceleration? Then what is a(N)? And what is N(t)?

    -Dan
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