1. The problem statement, all variables and given/known data A bead of mass m is constrained to move on a hoop of radius R which is spinning with angular velocity ω. There is no friction. Determine the angle θ at which the bead does not move for angular velocity ω. Do not consider the solution θ = 0. 2. Relevant equations τ = r F cos θ = I α α = a / r 3. The attempt at a solution Tried using formulas for torque - ended up with F = m R tan θ * α and α=α/ cos θ. Can't figure out what to do next. Also not sure about my free body diagram. Free body diagram: Force upwards due to angular velocity Force downwards due to gravity.