Marvelous Motion Trajectories
Operation: Turn the handwheel and observe the movement path of the pivot. Function Overview: The exhibit consists of a large disc, a medium disc, a small disc, an operating handwheel, etc. When the handwheel is turned, two small discs will be seen rolling internally tangent to the large disc, and the pivots on the edges of the two small discs actually move along a straight line and a pentagon. Scientific Principle: Why is this? On a plane, when a moving circle rolls along the inside of a fixed circle, the path of a point on this circle is called a hypocycloid. If the radius of the moving circle is exactly half the radius of the fixed circle, the path of any point on the circumference of the moving circle is a straight line. In the exhibit, the diameter of the small disc is exactly half the diameter of the large disc, and the pivot is exactly on the circumference of the small disc, so its path is a straight line. In machining, the reciprocating linear motion of the blade on a planer utilizes this property of the hypocycloid. The diameter of the smallest disc is one fifth of the large disc, so the path of the pivot on it is a five-pointed star.
Options
- China Science and Technology Museum Standard Edition CSTM Standard EditionDimensions (unit: m): 0.75×0.68×94 Brand: KexMall Model: PopsciCat-Mobile-106 1. Materials: ① Base: flame-retardant ABS injection molding, thickness ≥4mm ② Tabletop: compact laminate, thickness ≥12mm ③ Instruction sign: acrylic UV printing ④ Tabletop fasteners: standard triangular locks ⑤ Gears: orange acrylic ⑥ Handwheel: transparent acrylic + 304 stainless steel ⑦ Linear track: yellow acrylic ⑧ Protective cover: transparent acrylic + orange acrylic 2. Main configuration: None 3. Energy requirement: None
Operation: Turn the handwheel and observe the movement path of the pivot. Function Overview: The exhibit consists of a large disc, a medium disc, a small disc, an operating handwheel, etc. When the handwheel is turned, two small discs will be seen rolling internally tangent to the large disc, and the pivots on the edges of the two small discs actually move along a straight line and a pentagon. Scientific Principle: Why is this? On a plane, when a moving circle rolls along the inside of a fixed circle, the path of a point on this circle is called a hypocycloid. If the radius of the moving circle is exactly half the radius of the fixed circle, the path of any point on the circumference of the moving circle is a straight line. In the exhibit, the diameter of the small disc is exactly half the diameter of the large disc, and the pivot is exactly on the circumference of the small disc, so its path is a straight line. In machining, the reciprocating linear motion of the blade on a planer utilizes this property of the hypocycloid. The diameter of the smallest disc is one fifth of the large disc, so the path of the pivot on it is a five-pointed star.
- Optimized Popular Edition Optimized EditionDimensions (unit: m): 0.75×0.68×94 Brand: KexMall Model: PopsciCat-Mobile-106 1. Materials: ① Base: flame-retardant ABS injection molding, thickness ≥4mm ② Tabletop: compact laminate, thickness ≥12mm ③ Instruction sign: acrylic UV printing ④ Tabletop fasteners: standard triangular locks ⑤ Gears: orange acrylic ⑥ Handwheel: transparent acrylic + 304 stainless steel ⑦ Linear track: yellow acrylic ⑧ Protective cover: transparent acrylic + orange acrylic 2. Main configuration: None 3. Energy requirement: None
Operation: Turn the handwheel and observe the movement path of the pivot. Function Overview: The exhibit consists of a large disc, a medium disc, a small disc, an operating handwheel, etc. When the handwheel is turned, two small discs will be seen rolling internally tangent to the large disc, and the pivots on the edges of the two small discs actually move along a straight line and a pentagon. Scientific Principle: Why is this? On a plane, when a moving circle rolls along the inside of a fixed circle, the path of a point on this circle is called a hypocycloid. If the radius of the moving circle is exactly half the radius of the fixed circle, the path of any point on the circumference of the moving circle is a straight line. In the exhibit, the diameter of the small disc is exactly half the diameter of the large disc, and the pivot is exactly on the circumference of the small disc, so its path is a straight line. In machining, the reciprocating linear motion of the blade on a planer utilizes this property of the hypocycloid. The diameter of the smallest disc is one fifth of the large disc, so the path of the pivot on it is a five-pointed star.