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Rollercoasters and Loops and Normal Forces

  1. Feb 4, 2016 #1
    1. The problem statement, all variables and given/known data
    <I will attach a diagram below> In terms of m, g and r. FInd the normal force at the top of the loop.

    2. Relevant equations
    ∑F = Fc = FN+Fg ∴ Fc=FN+Fg ∴FN = Fc - Fg ∴ N=mV2/r - mg

    3. The attempt at a solution
    Fc=mV2/r - mg and V2=ra and a=g ∴C=mrg/r ∴C = mg ∴mg-mg=N ∴ N=0 N. BUT after discussing with a guy in AP Physics C at my school, he said that this is solving for the minimum height. SO I think I need to solve for the general equation to solve for the normal force at the top of the loop at any height using the variables m, g, and r only (I'm pretty sure that's what my instructions meant). Could anyone help please? I will send an image of my work as well.
     
  2. jcsd
  3. Feb 4, 2016 #2
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