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Newton's laws- pulleys

  1. Sep 30, 2008 #1
    1. The problem statement, all variables and given/known data
    [​IMG]

    A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling as shown above. One end of the rope is held by Student A of mass 70 kg, who is at rest on the floor. The opposite end of the rope is held by Student B of mass 60 kg, who is suspended at rest above the floor.

    1. Calculate the magnitude of the force exerted by the floor on Student A.

    2. Student B now climbs up the rope at a constant acceleration of .25 m/s^2 with respect to the floor. Calculate the tension in the rope while Student B is accelerating.

    3. As Student B is accelerating, is Student A pulled upward off the floor? Justify your answer.

    4. With what minimum acceleration must Student B climb up the rope to lift Student A upward off the floor?

    3. The attempt at a solution

    1. Because it is at rest:
    T + N = Mg, or N = Mg - T = (70 - 60)g ~ 98 N

    I am currently doing 2-4 right now... I'll post what I get after I finish them.
     
  2. jcsd
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