A uniform density cube of mass m, side 2b, and center at C is placed on a fixed horizontal cylinder of radius r and center O in Earth's gravitational field. The cube is originally put so that C is centered above O, but it can roll from side to side without slipping. Use the Lagrangian approach to find the angular frequency of small oscillations about the top position. Note the moment of inertia of the cube I = 2mb2/3 and for the small angle approximation: sin θ ≈ θ and cos θ ≈ 1 - θ2.