12.07.2015 Views

Q - 경상대학교

Q - 경상대학교

Q - 경상대학교

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<strong>경상대학교</strong> 물리학과 김현수11-1402000020020022222=+−+−−−+−−−+−KmKmKKKmKKKmωωωωLLLLLLLLL직선상에있는입자기준모드의진폭진동계의기준모드를 표시기준진동수정수을 사용진동하는 끈의기준진동수를 구하려면) :,2,1,(1sin) :,2,1,(22sin2):(1sin01)sin(1)(0011NkNnkAaNnNnnNnnANAanNaknNNLL=⎟⎠⎞⎜⎝⎛+=•=⎟⎠⎞⎜⎝⎛+=•+=∴==+=←=+=•++ππωωπφπφπφ1)3,(4)/sin(31)2,(1)1,(4)/sin(:14sin)(33321=========⎟⎠⎞⎜⎝⎛==nkAankAankAankAaNkπππ제 모드입자일때⎟⎠⎞⎜⎝⎛==4sin1,1kπAank모드제⎟⎠⎞⎜⎝⎛==42sin2,2kπAank모드제⎟⎠⎞⎜⎝⎛==43sin3,3kπAank모드제3입자계에서의세기준모드0)(2)2( 121112=−−+→ −+−=− +−+−kkkkkkkKaamKKaaaaKamωω[ ]mKKKmkkkKAkAmkAa k ==→=−=++−−=−=00222,2sin22sin4)2cos(21)sin(2sin1)sin(sinsinωφωωφφωφφφφωφ정의로회귀공식이용하기위해진폭

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