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Homework Help: Relative-Motion analysis between two particles

  1. Jun 6, 2006 #1
    At the instant shown, the bicyclist shown at A is traveling at 7 m/s around the curve while increasing his speed at 0.5 m/s^2. The bicyclist at B is traveling at 8.5 m/s along the straight-a-way and increasing his speed at 0.7 m/s^2. Determine the relative vrlocity and the relative acceleration of A with respect to B at this instant.

    http://img108.imageshack.us/img108/2137/engr204problem122012tn.jpg [Broken]

    I figured out the relative velocity:







    The above answer for the magnitude of the velocity is correct. However, I cannot figure the acceleration part!!!


    I know the normal part of the bike at A's acceleration, but when I use this and the other EQ's for the acceleration, I don't get the correct answer! Please Help!


    Attached Files:

    Last edited by a moderator: May 2, 2017
  2. jcsd
  3. Jun 6, 2006 #2


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    The radial part of the acceleration of A, [tex]a_r[/tex] is given by
    [tex]\frac{v^2}{r}[/tex] while the tangential acceleration of A is [tex]a_t\ =\ 0.5\ m/s^2[/tex] which will itself be normal to the indicated radius. This means that you need to decompose both these accelerations into x- and y-components to get the components of the acceleration of A. Much less work need to be done if you rather align your x/y axis with these two acceleration components [tex]a_r , a_t[/tex] and express the acceleration of B in this sytem.
    Last edited: Jun 6, 2006
  4. Jun 6, 2006 #3
    Thanks for the help!

    I set up the coordinate system like you said and get the right answer:





  5. Jun 6, 2006 #4


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    Its a privilege to help someone who enjoys his physics and gives me great pleasure.
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