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Inclined Planes

  1. Sep 24, 2007 #1
    In this problem, the fact that the length of the string does not change imposes a constraint on relative accelerations of the two blocks. Find a relationship between the x component of the acceleration of block 2, [tex]a_{2x}[/tex],and the acceleration of block 1. Pay careful attention to signs.

    Express [tex]a_{2x}[/tex] in terms of [tex]a_{1x}[/tex] and/or [tex]a_{1y}[/tex], the components of the acceleration vector of block 1.

    (the diagram is included)
     

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  2. jcsd
  3. Sep 24, 2007 #2

    Doc Al

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    Hint: How must the total accelerations of each block be related?
     
  4. Sep 24, 2007 #3
    Equal?
     
  5. Sep 24, 2007 #4

    Doc Al

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    Exactly!
     
  6. Sep 24, 2007 #5
    so.....a_2x = a_1y?
     
  7. Sep 24, 2007 #6

    Doc Al

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    Nope. Block 2 is on an incline. The magnitude of its total acceleration equals that of the other block, but they travel in different directions (obviously).

    (I assume that x & y are horizontal and vertical. If x means parallel to the plane, then you are almost correct.)
     
  8. Sep 24, 2007 #7

    ....therefore FINAL answer is....a_2x = -a_y1??
     
  9. Sep 24, 2007 #8

    Doc Al

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    If the x-axis is parallel to the incline for mass 2 and the y-axis is vertical for mass 2: Yes!
     
  10. Sep 24, 2007 #9
    Yah...thanks for ur help
     
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