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Acceleration of a box across a rough horizontal plane

  1. Aug 8, 2017 #1
    • Thread moved from the technical forums, so no Homework Template is shown
    Not sure if I'm doing this right would love input

    Consider a box m=50kg which is being pulled on a rough, horizontal surface by a person using a rope . Assume that the person is applying a force of T=150N on the block , the rope makes an angle of 30 degrees with the horizontal and the coefficient of kinetic friction between the block and the horizontal surface is 0.2
    Determine acceleration of the block if the block remains in full contact with the floor

    Fx=FCosθ
    Fx=150(Cos30)
    Fx=129.9N

    Fy=FSinθ
    Fy=150(sin30)
    Fy=75N

    Fk=μFN
    FN=mg-fy
    FN=50(9.81)-75
    FN=415.5

    FK=0.2(415.5)
    FK=83.1

    Fnet=Fx-Fk
    Fnet=129.9-83.1
    Fnet=46.8=ma=50(a)=46.8
    a=0.936m/s
     
  2. jcsd
  3. Aug 8, 2017 #2

    TSny

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    Gold Member

    It all looks good to me (except something's missing in the last symbol of the last line :oldsmile: ).
     
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