Further Study of the Small Slider Movement on Non-smooth Plane
Yu Chen
Abstract
Yu Chen
Abstract
This paper analyzes a basic model of the slider movement on non-smooth plane, which is the movement of a small slider sliding from inclined plane to horizontal plane. Through experiment and theoretical analysis, we found that a completely inelastic oblique collision happens between the slider and the horizontal plane. Accordingly, the distance of the small slider sliding on the horizontal plane L = H/m(1 - m cotθ), which is derived from the classical solving method, is wrong, and it should be.L= H/m(1-mcotθ)cos~2θ.
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This paper analyzes a basic model of the slider movement on non-smooth plane, which is the movement of a small slider sliding from inclined plane to horizontal plane. Through experiment and theoretical analysis, we found that a completely inelastic oblique collision happens between the slider and the horizontal plane. Accordingly, the distance of the small slider sliding on the horizontal plane L = H/m(1 - m cotθ), which is derived from the classical solving method, is wrong, and it should be.L= H/m(1-mcotθ)cos~2θ.
Key concepts: Slider, Plane (geometry), Horizontal plane, Movement (music), Inclined plane, Geometry, Physics, Vertical plane