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Rolling cone motion is the rolling motion generated by a cone rolling over another cone. In rolling cone motion, at least one of the cones is convex, while the other cone may be either convex, or concave, or a flat surface (a flat surface can be regarded as a special case of a cone whose apex angle equals ). The distinguishing characteristic of a rolling cone, in relation to other axially symmetrical rollers (cylinder, sphere, round disk), is that while rolling on a flat surface, the cone's center of gravity performs a circular motion rather than a linear one. Another unique characteristic is that one of its points (its apex) is at rest throughout the entire motion. ==Kinematics== : The motion of a rolling cone can be described as a combination of a rotational motion of the cone around its axis of symmetry, and a rotary motion of its axis around the axis of symmetry of the stationary cone. The ratio between the angular velocities of these two motions is given by: :, where and are the half apex angles of the stationary cone and the rolling cone, respectively, is the angular velocity of the rolling cone's axis of symmetry around the axis of symmetry of the stationary cone, and is the angular velocity of the rolling cone around its own axis of symmetry. In the special case of a cone rolling on a flat surface, this ratio becomes , where is the cone's half apex angle. For example, a cone having an apex angle of 120 degrees, while being rolled on a flat surface, will perform exactly two full rotations around its axis of symmetry before returning to its original position. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「rolling cone motion」の詳細全文を読む スポンサード リンク
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