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    A New Look at an Old Problem: Newton’s Cradle

    Source: Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 004::page 575
    Author:
    V. Ceanga
    ,
    Y. Hurmuzlu
    DOI: 10.1115/1.1344902
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper we consider the most basic multi-impact system, the so-called “Newton’s Cradle.” The task of developing an analytical method to predict the post impact velocities of the balls in the cradle has baffled investigators in the field of impact research for many years. The impulse-based rigid-body body as well as the alternative compliance-based time-base approaches have failed to produce valid solutions to this problem. Here, we present a new method that produces energetically consistent solutions to the problem. Our method is based on the traditional impulse-momentum-based rigid-body approach. We do, however, resolve the nonuniqueness difficulty in the rigid-body approach by introducing a new constant called the Impulse Transmission Ratio. Finally, we verify our method by conducting a set of experiments and comparing the theoretical predictions with the experimental outcomes.
    keyword(s): Collisions (Physics) , Impulse (Physics) , Chain , Performance AND Momentum ,
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      A New Look at an Old Problem: Newton’s Cradle

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    http://yetl.yabesh.ir/yetl1/handle/yetl/124677
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    contributor authorV. Ceanga
    contributor authorY. Hurmuzlu
    date accessioned2017-05-09T00:04:00Z
    date available2017-05-09T00:04:00Z
    date copyrightJuly, 2001
    date issued2001
    identifier issn0021-8936
    identifier otherJAMCAV-26518#575_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124677
    description abstractIn this paper we consider the most basic multi-impact system, the so-called “Newton’s Cradle.” The task of developing an analytical method to predict the post impact velocities of the balls in the cradle has baffled investigators in the field of impact research for many years. The impulse-based rigid-body body as well as the alternative compliance-based time-base approaches have failed to produce valid solutions to this problem. Here, we present a new method that produces energetically consistent solutions to the problem. Our method is based on the traditional impulse-momentum-based rigid-body approach. We do, however, resolve the nonuniqueness difficulty in the rigid-body approach by introducing a new constant called the Impulse Transmission Ratio. Finally, we verify our method by conducting a set of experiments and comparing the theoretical predictions with the experimental outcomes.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA New Look at an Old Problem: Newton’s Cradle
    typeJournal Paper
    journal volume68
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1344902
    journal fristpage575
    journal lastpage583
    identifier eissn1528-9036
    keywordsCollisions (Physics)
    keywordsImpulse (Physics)
    keywordsChain
    keywordsPerformance AND Momentum
    treeJournal of Applied Mechanics:;2001:;volume( 068 ):;issue: 004
    contenttypeFulltext
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