منابع مشابه
The Completely Inelastic Bouncing Ball
The motion of the inelastic bouncing ball is examined. The time of flight is modelled through numerical simulation using MATLAB. Then the time of flight is experimentally verified using a metal block constrained to move in one direction mounted to a vibration table. Time of flight is measured using a continuity sensor. Bifurcation diagrams are created for a range of accelerations and compared t...
متن کاملGrip-slip behavior of a bouncing ball
Measurements of the normal reaction force and the friction force acting on an obliquely bouncing ball were made to determine whether the friction force acting on the ball is due to sliding, rolling, or static friction. At low angles of incidence to the horizontal, a ball incident without spin will slide throughout the bounce. At higher angles of incidence, elementary bounce models predict that ...
متن کاملPeriod doubling boundaries of a bouncing ball
2014 A simple mechanical system consisting of a bouncing ball subject to repeated impacts with a vibrating table is studied in the period doubling regime. Two control parameters (the table’s forcing frequency and amplitude) are varied to discover the curves in parameter space that separate periodic orbits. Experimental results for the period doubling boundaries agree with calculations from a si...
متن کاملDynamics and Control of Bouncing Ball
This paper investigates the control of a bouncing ball using Model Predictive Control. Bouncing ball is a benchmark problem for various rhythmic tasks such as juggling, walking, hopping and running. Humans develop intentions which may be perceived as our reference trajectory and tries to track it. The human brain optimizes the control effort needed to track its reference; this forms the central...
متن کاملBouncing Ball Modes and Quantum Chaos
Quantum ergodicity of classically chaotic systems has been studied extensively both theoretically and experimentally, in mathematics, and in physics. Despite this long tradition we are able to present a new rigorous result using only elementary calculus. In the case of the famous Bunimovich billiard table shown in Fig.1 we prove that the wave functions have to spread into any neighbourhood of t...
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ژورنال
عنوان ژورنال: Bulletin of the Psychonomic Society
سال: 1992
ISSN: 0090-5054
DOI: 10.3758/bf03334105