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Crate on an Incline

  1. Nov 8, 2007 #1
    A wheel of radius R = 10.0 cm is mounted on a frictionless horizontal axis. A massless cord is wrapped around the wheel and attached to a 2.00-kg crate that slides on a frictionless surface inclined at an angle of 27.5° with the horizontal. The crate accelerates down the incline at 3.0 m/s2. What is the tension in the cord?

    Is it possible to still work with this since there is no mass attached to the pulley? I'm pretty sure I need to use a moment of inertia equation to calculate the tension.
     
  2. jcsd
  3. Nov 8, 2007 #2

    hage567

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    Yes, you can do this without knowing the mass of the pulley.
     
  4. Nov 8, 2007 #3
    How does this work? I'm having a few problems.
     
  5. Nov 8, 2007 #4

    hage567

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    You've been given the acceleration of the crate. What's your equation relating the acceleration and tension of the crate (using Newton's second law)?
     
  6. Nov 11, 2007 #5
    F=ma

    Would I have to worry about the circle?
     
  7. Nov 11, 2007 #6
    T=mg-ma

    T=18.6*sin(27.5)-2*3
     
    Last edited: Nov 11, 2007
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