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Mechanical Vibrations (4th Edition)

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Unformatted text preview: (CL) F t F/xo + g;- J(a.(9(—2'€(,) : (Soc 2: + 2x32” “3+ (5ao+gx1)x;(!:(-ro) ._ ”00 a; _ 4000 3 , Exact“ F9 : 500xa+ 2 (3) 5358 N APP?OXl-ma.fe {:93 “00 X9 _4000 = 55300 N Error 2-0.9755Z ((5):; x: H mm; 3 Exact F“ = SOOXH+ 2(H) = 8:62 N APPr‘OXt’maiE F“ : ”00 x H _. 4000 .: 8100 N Error =+ o-75'96’y6 Var: Constant —-~ (51) i Differenh'afion 03C (El) gives J? vf+rr ”XL-1 dv=o 4?=— 1’.” Av H-051) Chanje in rvaéume when moA'S' move: 53 4x Ezs (E2) mm! (6;) give 41,_ LSA“ 47‘ JF- d1: A - —L: A J; SPYmfl constant of our S'Frms _ ‘k: 3F —(1 5A1)- @Ezuivalenf SPrina constants in Jl'ffem': dl'rednons cure ke1=( 1:5 1:; 4‘7 1: ‘(—-—kg 153 ) ks1<c+l<e;‘<1"i"‘s“v) ) e1 ‘9‘?" k9 . _ k, K1 *3 k4 k"ea(1‘-1—-—~-_‘_kz) ’ ”kn: (k3+*“ If H18 force P moves by x SPrInj leafed at e undergoes cu Jasplacament of x): = x 005 a; (derEVaJn'on as m frouem 1.11), Force due to fress'ure cl-uamjgv 4 Ezuivwlehce of PO+en+Ihl anargg gives % “keg x1=—,'_- Z «a; It - .L i=1 keg: Z («81: C05 2‘8) From Framer“, 1-16: ‘k: 1) rAz wiih f: 1-4- for air Lei: 19 z zoo psi V 2- 2 ‘k: 75 U/i’n- : ———-——-———(2°°)O 4) A => ‘3'" = 0'2679 U 2 Le'l: char-natal" 03C [ms-tan : cl = 2 inch ; A: 342‘; (2) =3-f415 [n2 ...
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