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Car Wheelie

  1. Mar 28, 2010 #1
    1. The problem statement, all variables and given/known data

    Equations of motion are to be derived to describe the motion of a car(rear wheel drive) at rest which then accelerates to perform a wheelie.

    Basically, I need equations of motion that would help me determine the force that the rear wheels exert on the car in order to cause a wheelie.

    2. Relevant equations

    3. The attempt at a solution

    I have simplified the problem by assuming the car is a rectangle sliding on a horizontal surface with a horizontal force acting where the rectangle meets the surface.

    This leads to the EOMs that I THINK are correct

    [tex]\[F = m \ddot{x}\][/tex]
    [tex]\[N - mg = m \ddot{y}\][/tex]
    [tex]\[-mgLcos(\theta ) + NLcos(\theta ) = I \ddot{\theta }\][/tex]

    I made a guess that I should sum moments about the edge where the force is applied.

    The problem that I am having is that the equation for rotation contains 0 x-direction force terms, but it is obviously the x acceleration which causes the rotation.
  2. jcsd
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