Transcription of 3.5 Pendulum period - MIT
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3.5 Pendulum period - MIT
Pendulum period682009-02-10 19:40:05 UTC / rev periodIs it coincidence thatg, in units of meters per second squared, , veryclose to 2 Their proximity suggests a connection. Indeed, theyare connected through the original de nition of the meter. It was proposedby the the Dutch scientist and engineer Christian Huygens (science andengineering were not separated in the 17th century) called the most in-genious watchmaker of all time by the great physicist Arnold Sommerfeld[16, p. 79]. Huygens s portable de nition of the meter required only a pen-dulum clock: Adjust the bob s lengthluntil the Pendulum requires1s toswing from one side to the other; in other words, until its period isT= Pendulum s period (for small amplitudes) isT=2 pl/g, as shownbelow, sog=4 theT=2s standard for the meter,g=4 2x1m4s2= 2m s , if Huygens s standard were used today, thengwould be 2by de n-ition.
Jan 16, 2009 · speed, so it is easy to analyze without solving differen-tial equations. 72 72 72 72 3.5 Pendulum period 72 2009-02-10 19:40:05 UTC / rev 4d4a39156f1e Even if the analysis of the conical pendulum is simple, how is it relevant to the motion of a one-dimensional pendulum?
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