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Vector mechanics problem

  1. Oct 20, 2009 #1
    I have a block/particle that has an initial velocity of Vom/s horizontally and its starting at the top and it is moving down the side of a cylinder with a radius of X. Assume no friction. What is the maximum angle at which the block/particle will remain in contact with the cylinder?


    So I derived it in normal tangential coordinates and got that

    theta = cos ^(-1) ( 2/3 +Vo^2/(3gX))

    Which I am confident is correct. But I also need to figure out how to do it in polar coordinates. So if anyone knows how to do it or knows where to start I would be greatful for any type of help!
    Thanks
    BOB
     
  2. jcsd
  3. Oct 20, 2009 #2

    tiny-tim

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    Welcome to PF!

    Hi BOB! Welcome to PF! :smile:

    (have a theta: θ and try using the X2 and X2 tags just above the Reply box :wink:)
    I don't understand :redface:

    it's a cylinder, so normal and tangential coordinates are polar coordinates, aren't they? :confused:
     
  4. Oct 20, 2009 #3
    Yes, I believe they are but my teacher asked me specifically to do them in both coordinates and the problem is broken up into 50% of the points are distributed to each coordinate system.
    I have to get each coordinate system correct to get any points at all. So I kinda need to be sure that it is right. If they are the same, then how would I basically do the same work but represent it differently or sufficiently explain that they are the same. Or is there a way that I can do it polar thats different than my previous way.
     
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