Interconnected Pendulums

Math on October 20th, 2009 Comments Off

Problem The bobs of two pendulums are connected by a spring. When one is moved by an angle (theta) theta and released, what is the resulting motion? Do they eventually have the same energy? For physics students, let the pendulums length=L, point mass=M, and spring constant=K. Find the equations of motion for both pendulums. Solution [...]

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Triple Duel

Math on October 5th, 2009 Comments Off

Problem Three Cowboys Arden, Begley, and Corry compete in a duel. Arden and Begley are both sure shots (they hit their targets 100 percent of the time) while Corry only hits his target 50% of the time. Everybody has perfect knowledge (knows everybody’s percents, knows that everbody knows everybody’s pecents, knows everybody knows that everybody [...]

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