Circular Motion Problem With Static Friction

[jcfor3ver]

1.Two metal cylinders of mass m1 and m2 are placed one at the top of the other on a circular turntable that is rotating at a constant speed as illustrated in the diagram. The coefficient of static friction between the lower cylinder and the turntable is s1 and the coefficient of static friction between the cylinders’ surfaces is s2 >s1. The cylinders remain at rest with respect to the turntable and are at a distance R from its center. If the angular speed of the turntable increases, at what maximum angular speed max will the cylinders start to move?
(first consider the simpler problem of one mass on the turntable, with s1). Then work on the more complicated one of m1 wtih m2 sitting on top.Homework Statement



2. Homework Equations
omega=v/r
force of static friction = mew * Norm force
accel turning = v^2/r

The Attempt at a Solution

For my final equation i got mass sq.root. of a^2*r+a^2*t= f static max. Now I hope this is right although I feel very confused on the problem

 

[jbsteele]

. For the first part, when there is just one mass, the maximum angular velocity at which the mass will start to move is given by: ωmax = (μs1 * m) / r For the second part, when there are two masses, the maximum angular velocity at which the masses will start to move is given by: ωmax = sqrt[m1*(μs1 * m2 + μs2 * (m1 + m2))] / r where μs1 is the coefficient of static friction between the lower cylinder and the turntable and μs2 is the coefficient of static friction between the cylinders’ surfaces.