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Inclined plane revisited

  1. Nov 2, 2004 #1
    Movers want to set the ramp of their truck so that the work they do against the combination of gravity and friction is a minimum for crates moving up the ramp with constant velocity. µ is the coefficient of kinetic friction and θ is the angle between the ramp and the ground. For the work to be a minimum, they must choose:

    a. tan θ = µ

    b. tan θ = -µ

    c. tan θ = -1/µ

    d. tan θ = 1/µ

    e. tan θ = 1 - µ

    The obvious solution of setting the derivative of work equal to zero finds the maximum work. The problem asks for the minimum?
     
  2. jcsd
  3. Nov 3, 2004 #2
    Last edited: Nov 3, 2004
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