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thisisbenbtw
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Homework Statement
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.
Homework Equations
τ = r F cos θ = I α
α = a / r
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.