The rough inclined plane is rotating about a vertical axis at a constant rate Ω. The small block of mass 0.1 kg rests on the inclined plane. The coefficient of static friction between the block and the plane is μ = 1 /2. If θ = 45∘ and d = 100 mm, determine the minimum and maximum values of Ω to keep zero relative motion between the block and the inclined plane.