ZHOU Liting, XIONG Jufeng. THE DYNAMIC ANALYSIS OF THE INTERESTING EXPERIMENT OF ROLLING BALL[J]. MECHANICS IN ENGINEERING, 2020, 42(4): 485-488. DOI: 10.6052/1000-0879-19-481
Citation: ZHOU Liting, XIONG Jufeng. THE DYNAMIC ANALYSIS OF THE INTERESTING EXPERIMENT OF ROLLING BALL[J]. MECHANICS IN ENGINEERING, 2020, 42(4): 485-488. DOI: 10.6052/1000-0879-19-481

THE DYNAMIC ANALYSIS OF THE INTERESTING EXPERIMENT OF ROLLING BALL

  • This paper quantitatively analyzes the dynamic process of the "Rolling ball" experiment. In the "Rayleigh Ball" experiment, a "strange slope" is constructed to make the homogeneous ball look like a "climbing slope" by controlling the two guides. In this paper, the physical model is constructed based on the principle of the rigid body motion, and the stress and motion processes of the system are analyzed, and the formula of the maximum height of "climbing slope" of the homogeneous ball is derived. Ignoring the air resistance and the friction, when the initial distance of the two rail rods is far smaller than the radius of the ball, the small ball cannot fall and suddenly close the two rails to make them parallel. When the initial angle of the two rails is twice of the tilt angle of the rail, the homogeneous ball can reach the maximum height and the longest distance.
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