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Huygens' Clock Puzzle Solved

PhotoGuy writes "Okay, I haven't heard of this puzzle either until now, but it sounds like a fascinating phenomenon. According to this article:Huygens had two clocks side by side and he found that even when they began out of sync, they soon got into a rhythm where the pendulum on one moved as if it were a mirror image of the other.The article is pretty light on the explanation, noting only the conditions required (small relative mass of the pendulums [pendula?], relatively close speed of the clocks), and not really addressing the physics behind it. " There's a great site at Georgia Tech that explains the puzzle in more detail.

19 of 185 comments (clear)

  1. It's a sad day on /. by wondercat2 · · Score: 0, Offtopic

    When the first 5 posts on an article are all -1 or 0. *shrug* the trolls are alive and well...

    1. Re:It's a sad day on /. by dinodrac · · Score: 0, Offtopic

      /me puts up a don't feed the trolls sign :)

  2. Re:odds by yawnmoth · · Score: 0, Offtopic

    ugh - i've been using vbulletin too much!

  3. Crap by Anonymous Coward · · Score: -1, Offtopic
    You're full of crap. Slashdot does not censor anything. Try posting constructive posts and you will get moderated up BY THE USERS. Post crap and you get moderated down, out of everybody's sight like you should be. What's wrong with this?

    Secondly, making Microsoft contribute financially to a site like this a good thing. Less money for closed source, more money for the community.

    1. Re:Crap by Anonymous Coward · · Score: -1, Offtopic

      Slashdot does not censor anything. Try posting constructive posts and you will get moderated up BY THE USERS.

      Hey, dumbass, did you forget that Taco, Homos, and the other /. workers have unlimited mod points? Censorship is alive and thriving on this site.

    2. Re:Crap by Anonymous Coward · · Score: -1, Offtopic

      Yeah. They do have unlimited mod points but there is no evidence that they use them unfairly to censor posts.

  4. Re:Ok. Now what? by ajmarks · · Score: -1, Offtopic

    Not FEMA! Don't you know that they plan to overthrough the government and make us all into slaves?

    --
    Opinions are not Informative, though they may be Insightful or Interesting.
  5. Re:Antiphase by oojah · · Score: -1, Offtopic

    I got me a car, it's as big as a whale and it's about to set sail!

    Hmm. Where to? Can I come too? I can pay for the jukebox if you like.

    Cheers,

    Roger

    --
    Do you have any better hostages?
  6. Re:Periods by djmcmath · · Score: -1, Offtopic

    My experimentation shows that if you have a girl stand close to a very large clock, her period and the period of the clock will never fall into sync. Am I doing something wrong?

  7. Read it and weep ultra right wing bitch! by Anonymous Coward · · Score: -1, Offtopic

    Ayn Rand and the perversion of libertarianism

    The political controversy of the late 19th century was: whether
    socialists (all those who believed in the individual's right to
    possess what he or she produced) should engage in the political
    process, seize control of the state, and use the state apparatus
    to achieve liberation; or, whether a worker's state was inher-
    ently contradictory, counter revolutionary, and would only lead
    to the creation of a new ruling class whose interests would still
    clash with those of the ruled that the state should be abolished
    allowing for no transitional stage of any kind during which power
    may have the chance to reconsolidate itself.
    The situation has recreated itself with amazing similarity
    almost exactly a century later.
    Non-libertarian parties the world over (those who see authori-
    tarian centralization the bulwark of civilization) are bankrupt,
    economically and intellectually. The only viable intellectual
    current today falls under that ambiguous term~ `libertarian'.
    Today there exist beneath this umbrella as many splinter groups
    as there were a hundred years ago under the umbrella of social-
    ism. Two distinct trends, a right and a left if you will, are
    clearly discernible.
    One group, clearly the largest with a hierarchical organization
    modeled on the other political parties, believes, like most
    Marxists, in constitutional parliamentary republican democracy.
    They believe that the state is a necessary guarantor of indi-
    vidual safety and the product of the individual's labor, and in
    gradual progress toward a free society through participation in
    the political process.
    The other group, much smaller and far more splintered, reject
    the state as necessarily a tool of class domination and exploita-
    tion.
    This group believes that what Bakunin said a hundred years ago
    is as true today, ``If you took the most ardent revolutionary,
    vested him in absolute power, within a year he would be worse
    than the Czar himself.''
    The first group is in all fairness a direct inheritor of the
    ideals of the American Revolution. In modern times, however, it
    has only two roots: (1) the Austrian school of economics repre-
    sented by Ludwig Von Mises; (2) the philosophy of Ayn Rand.
    Von Mises never considered the libertarians. He answered the
    Marxists and the Keynesians and defended laissez-faire capitalism
    at a time when no one else would. His justification for capital-
    ism was empirical~the greatest good for the greatest number.
    Ayn Rand, however, attempted to offer a moral justification of
    capitalism by substituting the word `capitalism' for the liber-
    tarian meaning of the word `socialism'. She then attributed all
    of the ills of capitalism to government interference with the
    market and all of the world's wealth to the minds of the men whom
    the world considered the robber barons.
    The contrast between Ayn Rand's `Objectivism' and libertarian-
    ism is deeper than mere substitution of terminology, however.
    Several of her propositions or axioms place her clearly outside
    of the libertarian tradition.
    Her justification of the state is derived from a Hobbesian
    state of nature theory:
    ``...a society without an organized government would be at the
    mercy of the first criminal who came along and who would precipi-
    tate it into chaos and gang warfare....'' [The Virtue of Selfish-
    ness, 152; pb 112]
    ``If a society provided no organized protection against force,
    it would compel every citizen to go about armed, to turn his home
    into a fortress, to shoot any strangers approaching his door~or
    to join a protective gang of citizens who would fight other
    gangs, formed for the same purpose, and thus bring about the
    degeneration of society into the chaos of gang rule, i.e., rule
    by brute force, into perpetual warfare of prehistoric savages.''
    [Ibid., 146; pb 108]
    Ayn Rand's belief in the inherent depravity of human nature
    which renders us forever incapable of living without rulers and
    not descending to the level of `savages', clearly places her out-
    side of the libertarian tradition which views human nature as es-
    sentially good, capable of indefinite improvement through the
    experience of freedom and the exercise of reason.
    Her knowledge of anthropology is as embarrassing as her under-
    standing of history. For example, in regards to her conception of
    who are the savages, she describes America as, ``...a superlative
    material achievement in the midst of an untouched wilderness,
    against the resistance of savage tribes.'' [For The New Intellec-
    tual, 58; pb 50]
    To Rand, the essential characteristic of the state is that it
    possesses a monopoly on the use of retaliatory force. How does
    she justify this monopoly or national sovereignty? She accepts it
    as a given, something not requiring a justification, and demands
    that an-archy, the negation of the proposition, justify itself.
    Her concept of national sovereignty is then something tran-
    scendental, existing separate and apart from individuals. and
    beyond the right of the individual to accept or reject according
    to his or her own reason.
    These propositions clearly place Ayn Rand's philosophy closer
    to Hobbes, Hegel, and Marx, than to libertarianism.
    The state, according to Miss Rand, must hold a monopoly on the
    enforcement of contracts and the settling of disputes between
    individuals, at least whenever this arbitration is not accepted
    by both sides voluntarily. She fails to consider that the en-
    forcement of contracts by the state fundamentally alters the
    nature of free agreements. Agreements are made on terms which
    otherwise might not be, because they are justiciable.
    The terms of ``free agreements'' under law are titled in favor
    of lenders over debtors, landlords over tenants, employers over
    employees, in a way which would not exist in a ``free market.''
    This leveraging of power is not `objective' at all. Depending
    purely on legal convention, creditors may have debtors impris-
    oned, tenants may be evicted without notice and their effects
    confiscated, one human being may own another or the land on which
    another lives and works, all to varying degrees.
    To understand Ayn Rand's psychology it is helpful to know her
    background. She was born to a wealthy St. Petersburg family in
    1905. The position of her family in Czarist society must have
    been considerable. At a time when the lives of most Russians had
    changed little since feudalism, her family was wealthy enough to
    afford a French Governess and take regular vacations to the Cri-
    mea.
    It should be noted that wealth in Czarist society was almost
    wholly a measure of one's favor with the government. There were
    few if any Horatio Alger stories about individuals who lifted
    themselves out of serfdom without the patronage of the Czar.
    At the age of twelve, she must have been very upset when those
    nasty workers took over her father's business. Her family fled
    St. Petersburg for the Crimea and the protection of the White
    Army.
    This experience rendered her forever incapable of seeing land
    reform or any struggle of oppressed and exploited people as
    anything more than hatred for the good and lust for the unearned.
    She shared with Marx the bourgeois ideology that only a few
    people were capable of running things. The masses ought to be
    happy to have a job working for bosses. Any suggestion that an
    enterprise could be run by the employees without having someone
    in charge was to her absurd.
    She shared with Godwin and Kropotkin the belief that the indi-
    vidual is born tabula rasa~a blank slate, and all human knowledge
    is derived from sense experience. She then proceeded, however, to
    completely dismiss environment and socialization as the determin-
    ing factor in the development of character.
    People were to her good or evil, brilliant or indolent, depend-
    ing solely on their volition. People should be judged by their
    actions with equal severity regardless of their condition. Though
    she insisted that the United States was not and never had been a
    completely free country, she granted no such thing as extenuating
    circumstances when judging an individual and had no qualms up-
    holding the power of the state to inflict capital punishment.
    A far more sinister legacy of Ayn Rand to libertarianism is
    that of a moralizing autocrat who gathered about her an inner
    circle which she ironically called, ``The collective.''
    Outwardly, this collective professed egoism and individuality.
    They were to be the vanguard of an intellectual renaissance. The
    price of admission to this group, however, was slavish conformity
    of one's life and professed philosophy to Ayn Rand's whims and
    eccentricities. For example, she did not like men who wore facial
    hair or listened to Mozart, and if you didn't give them up you
    were unfit for Rand's inner circle.
    This is particularly sinister if one considers that Karl Marx,
    believed by millions to be the very symbol of liberation, was
    also an autocrat who, though professed to be the ultimate champi-
    on of democracy, resorted to extraordinary means to maintain
    control of the International Workingmen's Association. He even
    moved its headquarters to New York to exclude the libertarian
    influence.
    Today Ayn Rand is gone, but like Marx a century ago, hers is
    the primary influence on the largest libertarian organization
    existing. Even the pledge which all Libertarian Party members
    must sign is taken directly from her admonition, ``I hereby
    certify that I do not believe in or advocate the initiation of
    force as a means of achieving political or social goals.''
    In spite of their pledge to non-violence, many libertarians are
    frustrated with election laws and media censorship. An argument
    which circulates among libertarians of the right is that, if they
    were more threatening, the government may take steps to accommo-
    date them as it did the black civil rights movement.
    Ayn Rand's writings are not entirely consistent on the point of
    non-violence either. In The Fountainhead, Howard Roark resorts to
    the use of dynamite. In Atlas Shrugged, Ragnar Danneskjold
    engages in piracy on the high seas and even shells a factory
    which has been nationalized. In a clandestine rescue mission,
    Dagny Taggart shoots a guard who stood in the way of her desired
    end.
    In the event of economic upheaval, ruined by unemployment and
    inflation, tenants and home owners may refuse to make rent and
    mortgage payments. The unemployed may seize vacant land and begin
    to farm, and factory workers may realize they can run things
    without stock holders.
    It would not be at all surprising if there were to emerge
    within the libertarian right, groups committed to direct action
    and counter revolutionary violence, even a coup d'etat.
    Imagine a charismatic and autocratic personality at the center
    of such a group and you have the Objectivist Lenin.
    Like the Marxists and right libertarians, Lenin and the Objec-
    tivists are professed republican democrats. Lenin and the Bolshe-
    viks promised that if given power, they would immediately convoke
    a constituent assembly. When they realized, however, they would
    not hold a majority in such an assembly they turned against the
    idea of such an assembly.
    Can anyone doubt that the cultist mentality which characterizes
    most of Miss Rand's followers could lead to the creation of a
    group of self appointed avengers of the capitalist class? That
    they would suppress strikes, demonstrations, and factory take
    overs? That they would not execute people for crimes against the
    libertarian state?
    Ayn Rand believed in a republican form of government with a
    cleverly constructed constitution which would deny the majority
    of the power to infringe on the rights of a minority as she
    conceived them. If the majority supported a general strike
    against rents and mortgages and supported the factory takeovers,
    would not the clandestinely organized Objectivist libertarian
    party be tempted to dispense with democracy in order to enforce
    what they conceived of as the rights of the dispossessed bour-
    geoisie?
    In all fairness it must be admitted that Ayn Rand herself would
    never sanction such actions, but the same argument is made
    everyday by western Marxists that Marx would probably not have
    sanctioned many of Lenin's actions and would certainly not take
    credit for the Soviet Union.
    Lenin and the Bolsheviks won power by promising, ``Land to the
    peasants!'' ``Factories to the workers!'' When they took power,
    however, they immediately set about liquidating the factory com-
    mittees and nationalizing the land. They crushed work place
    democracy by installing armed guards in the factories, and even
    returned former owners to their positions as employees of the
    worker's state.
    Leon Trotsky stopped the practice of soldiers electing their
    officers from their ranks and even restored former Czarist
    officers to their ranks in the Red Army.
    When the Russian Revolution began few people clearly understood
    the gulf which separated the state socialists from the libertari-
    ans. Many dedicated libertarians like Alexander Berkman, rallied
    to the Bolshevik cause, willing to give them the benefit of the
    doubt in hopes that seizing state power would only be a transi-
    tional stage toward the development of the stateless/classless
    society.
    Many sincere lovers of liberty now flock to the standard of the
    Libertarian Party, as they did the Bolsheviks, completely igno-
    rant of the history of the last century. As Santayanna said:
    ``Those who forget the mistakes of the past are doomed to repeat
    them.''
    What should be done? It should be obvious that government
    enforcement of private contracts is not libertarian any more than
    is taking state power to set people free. Libertarianism is and
    always will mean socialism~the self emancipation of working
    people.
    Libertarians must stop courting the Republican right and return
    to their intellectual roots. By standing outside of the political
    process we deny the state legitimacy, and like the state tortur-
    ers in Atlas Shrugged, they will come and beg for libertarians to
    take over.
    Remembering the experience of the Spanish libertarians, and
    heeding the advice of John Galt, libertarians must refuse state
    power even when begged. The state can never be a tool of libera-
    tion. Only its complete and utter collapse will allow for the
    emergence of non-statist institutions, libertarian coops, com-
    munes, and free markets, to flourish and displace the political
    state once and for all.

    [This article appeared in issue #34 of *Anarchy: A Journal of
    Desire Armed* (available for $3.50 postpaid from B.A.L. Press,
    P.O. Box 2647, New York, NY 10009).]

  8. No need to copy and paste... by Anonymous Coward · · Score: -1, Offtopic
  9. Re:wondering??? by jkrise · · Score: 0, Offtopic

    Still wondering what to do after solving all those puzzles? Locate bugs in Windows. That should take a few lifetimes, I guess. KRS

    --
    If you keep throwing chairs, one day you'll break windows....
  10. Check out this thread, for an example. by Anonymous Coward · · Score: -1, Offtopic
    As a case in point, check out this thread which has been whacked down so many times they finally killed it.

    This thread had over 1000 moderation points but the /. editors kept "erasing" all moderation and marking EVERY post -1.

  11. Same type of thing with fireflies by Enoch5:24 · · Score: 0, Offtopic
    I remember an article from Science News years ago that had a cover story about fireflies synchronizing themselves with each other. There was a picture of a tree with fireflies in it (on the cover), and the article told that if they stayed around each other long enough, they would all blink at the same frequency. I thought that that was a pretty neat thing at the time. I wonder if there's some underlying connection between Huygen's sympathetic oscillations and the firefly phenomenon?

    If anybody remembers the article and wants to let me know what issue it was, I can try looking it up. A search on their website produced no results, so I'm guessing that its pre-96.

    --
    "You seem like a decent fellow. I hate to die." - The Man in Black, from The Princess Bride
  12. could you imag.... by vrmlknight · · Score: -1, Offtopic

    a beowulf cluster of clocks? You'd never know what time it really was

    --
    This must be Thursday, I never could get the hang of Thursdays.
  13. Re:It's all you deserve by Alan+Partridge · · Score: 0, Offtopic

    what a load of crap - this place isn't a democracy and bandwidth is both finite AND costly. are you six years old?

    --
    That was classic intercourse!
  14. Re:odds by hrieke · · Score: 0, Offtopic

    Well there's always these two riddles:
    How much wood could a woodchuck chuck if a woodchuck could chuck wood.

    And

    How many licks does it take to get to the center of a Toosie Pop?

    --
    III.IIVIVIXIIVIVIIIVVIIIIXVIIIXIIIIIIIIVIIIIVVIIIV IIVIIIIIIVIII...
  15. Re:odds by Bob+McCown · · Score: 0, Offtopic
    How many licks does it take to get to the center of a Toosie Pop?

    But we already know this one, the Wise Old Owl showed us. It's three!

    One...two-hooo...three crunch three

  16. Re:Awhile ago... by Anonymous Coward · · Score: -1, Offtopic

    I really hate to inform you:

    You have been trolled.