A homogeneous cone rests on top of the cylindrical surface. Derive a relationship between the radius r
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A homogeneous cone rests on top of the cylindrical surface. Derive a relationship between the radius r of the cylinder and the height h of the cone for neutral equilibrium. Hint: Establish the potential function for a small angle θ of tilt of the cone, i.e., approximate sin θ ≈ 0 and cos θ ≈ 1−θ 2/2.
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