1. The problem statement, all variables and given/known data Consider the bead threaded on a cicular hoop of example 7.6 (pg 260), working in a frame that rotates with the hoop. find the equation of motion of the bead, and check that your result agrees with eq 7. 69. Using a free body diagram explain the result 7.71 for equilibrium positions 2. Relevant equations d2θ/dt2 = (ω2cosθ - g/R)sinθ 7.69 θo = ±arccos(g/ω2R) 7.72 3. The attempt at a solution In the inertial frame there is going to be a centrifugal force coriolus force and force of gravity Feff = Fg + Fcf + Fcor by the diagram Fcf = mRω2sinθ Not sure about the direction ( I'm thinking it wouldn't really be in the r hat direction. more like Rcosθ. sounds redundant but i'm not sure how to explain it.) Fcor = -2mvΩcosθ because it is in the southern hemisphere so it would deflect left which would oppose the gravitational force I assume Feff = mR2[d2θ/dt2] I can solve this problem by lagrange method, but i'm not fully understanding this non-inertial ref frame.