Accelerating Cylinders !!Someone pls help !!

I am stuck in this question. Please help!!

Three identical cylinders are arranged in a triangle(one lying on top of the other two and all 3 are in contact), with the bottom two lying on the ground.The ground and the cylinders are frictionless. You apply a constant horizontal force (directed to the right) on the left cylinder. Let a be the acceleration you give to the system. For what range of a will all three cylinders remain in contact with each other ?

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Accelerating Cylinders !!Someone pls help !!

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