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Homework Help: Kinetic Friction and Hemispherical Dome

  1. Sep 15, 2014 #1
    1. The problem statement, all variables and given/known data

    There is a hemispherical dome that sits on a horizontal plane. It has a radius of 10m.
    A 2 kg block sits on top of the dome.

    Pt. 1: Assuming the coefficient of kinetic friction is 0, at what angle, θ, will it leave the dome?

    Pt. 2: Assuming that μk is 0.3, what is the minimum initial velocity for which the block will leave the dome, and what angle will it leave?

    2. Relevant equations

    3. The attempt at a solution
    When the block leaves the surface, there will cease to be any kinetic friction. It would seem as though the block would have to leave the dome at, or before pi/4; however, I could be incorrect in that inference.
    Last edited: Sep 15, 2014
  2. jcsd
  3. Sep 15, 2014 #2


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    Science Advisor
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    You must show what you have tried so far. Hint: what is special about the forces at the instant when the block leaves the surface?
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