1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Forces on a Bike

  1. Apr 17, 2005 #1
    A biology student rides her bike around a corner of radius 24 meter at a steady speed of 8.3 m/sec. The combined mass of the student and the bike is 87 kg. The coefficent of static friction between the bike and the road is μs = 0.39.

    a) If she is not skidding, what is the magnitude of the force of friction on her bike from the road?
    Ffric = N *
    --------------------------------------------------------------------------------
    b) What is the minimum value the coefficient of static friction can have before the bike tire will skid?
    μmin = *
    0.292 OK
    --------------------------------------------------------------------------------
    c) What is the magnitude of the total force between the bike tire and the road?
    Ftotal = N
    1103.19 NO

    Need help with part c.

    Is it something like this F = mg + mv^2/R

    Is this correct.
     
  2. jcsd
  3. Apr 17, 2005 #2

    Andrew Mason

    User Avatar
    Science Advisor
    Homework Helper

    The total force on the bicycle is:

    [tex]\vec F = m\vec g + \vec N + \mu_sN\hat r = m\vec a = \frac{mv^2}{R}\hat r[/tex]

    The forces exerted by the road on the bicycle are [itex]\vec N, \mu_sN\hat r [/itex]. The magnitude of those forces would be the magnitude of the vector sum:

    [tex]m\vec g - \frac{mv^2}{R}\hat r = \vec N + \mu_sN\hat r[/tex]

    Note[itex]\vec N[/itex] and [itex]\hat r[/itex] are perpendicular. What is the magnitude of the resultant force?

    AM
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Forces on a Bike
  1. Forces on a bike (Replies: 1)

  2. Forces on a Bike (Replies: 8)

  3. Bike projection (Replies: 5)

Loading...