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Forces of constraints

  1. Oct 20, 2016 #1
    hello :)
    my question is about a solved example in gregory's book
    first of all , assuming that that a cylinder with radius "a" is rolling without slipping towrad the y direction in an incline plane
    with angle θ with the horizon and the cylinder him self is rotating with angle Φ about him self then why the equation of constraint became
    y=aθ why its not y=aΦ ?? does that mean θ=Φ for the rolling condition ??

    also
    another example about the constraints is for the same cylinder but this time heis moving horizontally (i uploaded a screen shot for the solution)
    how could he get those equations am not looking for answers here but i cant imagine the movement of this cylinder and the relation between θ and Φ
    i dont have any attempts because am not even able to imagine the movement of the cylinder , sorry :(
     

    Attached Files:

  2. jcsd
  3. Oct 20, 2016 #2
    the screen shot talks about a disc rolling on a horizontal surface? how come you say it to be a cylinder.
    Moreover in first part -you should post a diagram with these two angles defined ...your work out must be posted.
     
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