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Block moving on a horizontal surface

  1. Oct 8, 2015 #1
    1. The problem statement, all variables and given/known data

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    2. Relevant equations


    3. The attempt at a solution

    Working from the reference frame of block , a pseudo force Ma0 towards right need to be applied on the cylinder .

    Forces acting on the cylinder are pseudo force , weight Mg and normal force from the block (if any) .

    Since the cylinder does not have horizontal acceleration , N sin30° = Ma0 .

    I am not able to proceed from here .

    Any help would be appreciated .
     

    Attached Files:

  2. jcsd
  3. Oct 8, 2015 #2

    ehild

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    The cylinder does not have horizontal acceleration in the rest frame of reference. So it accelerates with respect to the slope.
     
  4. Oct 8, 2015 #3
    Sorry , i did not understand . Could you please explain it a bit more . Do you think the application of pseudo force and subsequent equation written in the block frame are wrong ?
     
  5. Oct 8, 2015 #4

    ehild

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    You assumed that the horizontal acceleration of the cylinder is zero in the block frame of reference, didn't you?
     
  6. Oct 8, 2015 #5
    Yes .

    So , should the equation be Ma0 - N sin30° = Ma ( 'a' is the horizontal acceleration of the cylinder in the block frame ) ?
     
  7. Oct 8, 2015 #6

    ehild

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    If the cylinder does not accelerate horizontally with respect to the block, what is its (horizontal) acceleration with respect to the ground?
     
  8. Oct 8, 2015 #7
    I guess you wanted to ask the other way round :smile: .

    Anyways , (horizontal) acceleration with respect to the block would be a0 . That would give N = 0 .

    Now ,how should I calculate value of a0 ?
     
  9. Oct 9, 2015 #8

    ehild

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    What is the vertical acceleration? There is some geometric relation between the horizontal and vertical acceleration of the block in the grove.
     
  10. Oct 9, 2015 #9
    Thank you very much :smile: .
     
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