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Math Help - Physics Help!

  1. #1
    Newbie
    Joined
    Feb 2010
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    21

    Physics Help!

    I need help with the current problem

    Because the block is not moving, the sum of the y components of the forces acting on the block must be zero. Find an expression for the sum of the y components of the forces acting on the block, using coordinate system b.


    Express your answer in terms of some or all of the variables , , , and .




    Thanks!
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    Because the sum of the forces on the block is zero, you must have F_n + F_f + F_w = 0.

    Thus, F_n + F_f = -F_w.

    Now, using coordinate system b, F_w = <0, -mg>, where m is the mass of the block and g is the acceleration due to gravity. Also, you know that F_n = <-\lambda \sin \theta, \lambda \cos \theta>, F_f = <\omega \cos \theta, \omega \sin \theta>, and \lambda^2 + \omega^2 = (mg)^2. Can you figure out how to solve for \lambda and \omega?
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