ch16-p060 - 60. With the string fixed on both ends, using...

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Therefore, 447 286.1 – 1 = 0.5624 must equal an odd integer (2 n + 1) divided by a squared integer ( n 2 ). That is, multiplying 0.5624 by a square (such as 1, 4, 9, 16, etc) should give us a number very close (within experimental uncertainty) to an odd number (1, 3, 5, …). Trying this out in succession (starting with multiplication by 1, then by 4, …), we find that multiplication by 16 gives a value very close to 9; we conclude n = 4 (so n 2 = 16 and 2 n + 1 = 9). Plugging m = 0.447 kg, n = 4, and the other values given in the problem, we find μ = 0.000845 kg/m = 0.845 g/m.
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This note was uploaded on 04/16/2011 for the course PHYSICS 191262 taught by Professor Najafzadeh during the Spring '09 term at The Petroleum Institute.

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