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Simple bucket lifting problem statics/physics

  1. Oct 2, 2014 #1
    1. The problem statement, all variables and given/known data

    A worker is trying to lift a 100lb bucket. Assume that the bucket is in static equilibrium as it is raised from 2ft to 18ft. Find the tension in the rope as a function of y.

    2. Relevant equations


    3. The attempt at a solution
    I solved for angle, a, which cam out to be: arctan(4/(20-y))

    Then I solved for the x and y components of the tension vector using: T_x=50lb(a+90) and T_y=50lb(a+90)
    I divided the weight by 2 because there are 2 ropes

    Then I solved for tension with: sqrt(T_x^2+T_y^2)

    The problem I am seeing is that the tension is constant at 30lb no matter the angle, a. I do not think that this should be the case. Could somebody point out where I went wrong? Thank you!
     

    Attached Files:

  2. jcsd
  3. Oct 2, 2014 #2

    CWatters

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    Science Advisor
    Homework Helper

    T_y=50lb(a+90) is wrong. Have another think.
     
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