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Inclined plane problem

  1. Apr 15, 2014 #1
    Problem: a 1200-N go-cart is being pulled up a 25 degree incline by a rope that makes an angle of 35 degrees with the horizontal. Neglecting all frictional effects, determine the tension in the rope necessary to pull the cart up the incline at a constant speed

    Relevant equations:
    Sum of the forces= 0

    Attempt: The first thing I did was find the force necessary to pull the cart at a constant speed parallel to the horizontal so sin 25= x/1200 so x= 507.14. Then I treated that number like one of the sides of a right triangle and did Cos 35= 507.14/x and got x= 618.46. The correct answer is 515 N
     
  2. jcsd
  3. Apr 15, 2014 #2
    I think you treated it like the rope was at an angle of 35 degrees relative to the cart. Actually it is only 10 degrees.
     
  4. Apr 15, 2014 #3
    Ok I see my mistake. Thanks!
     
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