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Physics

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The drawing shows a large cube (mass = 27 kg) being accelerated across a horizontal frictionless surface by a horizontal force vector P . A small cube (mass = 4.0 kg) is in contact with the front surface of the large cube and will slide downward unless vector P is sufficiently large. The coefficient of static friction between the cubes is 0.71. What is the smallest magnitude that vector P can have in order to keep the small cube from sliding downward?

  • Physics - ,

    how does a small cube go "downward" if both are on a horizontal surfce? I don't understand the picture painted.

  • Physics - ,

    ____________
    | |----|
    | | |
    | |----|
    | |
    |__________|

    That is what the picture looks like. Hopefully the formatting won't mess up once it is posted. Its like one cube is temporarily glued to the other.

  • Physics - ,

    Since the formatting messed up...

    Imagine a regular, large cube. A smaller cube is placed on the right hand side of it but it appears as if it is glued to the side of the cube a couple inches above the horizontal surface.

  • Physics - ,

    ok, I get it. force on the surface keeps it up (actually friction does.)

    The normal force on the front surface of the large cube to the small cube is

    forcenormal=smallcubemass*a
    the friction force then holding up the small cube is forcenormal*mu

    and that has to equal smallcubemass*g

    so smallcubemass*g=smallcubemass*a*mu
    or mu=a/g

    Now, what is a? Pushing force= (total mass)a or a=P/totalmass
    so we have...
    mu=a/g=P/(totalmass*g)
    solve for P.

  • Physics - ,

    thanks...got the right answer!

  • Physics - ,

    chuck norris

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