Dynamics of Mechanical Systems 2009 Part 3 pptx
Dynamics of Mechanical Systems 2009 Part 3 pptx
... Figure 5 .3. 4. From Eq. (5 .3. 9), the velocity and acceleration of Q are: (5 .3. 12) where Ω is . In terms of n x and n y , v Q and a Q are: (5 .3. 13) and (5 .3. 14) From Eqs. (5 .3. 10) and (5 .3. 11), ... sinθθθ 05 93_ C04*_fm Page 1 13 Monday, May 6, 2002 2:06 PM 126 Dynamics of Mechanical Systems Using polar coordinates the constraint equation is: (5.2.2) The numbe...
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Dynamics of Mechanical Systems 2009 Part 11 pptx
... I 1111 2222 33 33 Tnn * =− × =Ω 2 1111 0I FTnIn ** ==−×⋅ () 0 2 11 and Ω Inn nn nn nn nn nn nn nn nn =++ +++ +++ III III III 11 1 1 12 1 2 13 1 3 21 2 1 22 2 2 23 2 3 31 3 1 32 3 2 33 3 3 05 93_ C15_fm ... ⋅ () ααωωωω T D * Tnnn D TTT * =++ 11 22 33 TI II 1 1 11 2 3 22 33 =− + − () αωω TI II 2 2 22 3 1 33 11 =− + − () αωω TI II 3 3 33 1 2 11 22 =− + − () αωω 05 93_...
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Dynamics of Mechanical Systems 2009 Part 12 pptx
... δ θθ 05 93_ C16_fm Page 559 Tuesday, May 7, 2002 7:06 AM 564 Dynamics of Mechanical Systems and then from Eq. (16. 13. 1) we have: (16. 13. 6) Equations (16. 13. 6) are parametric equations of a cycloid ... values r = 7 cm, w = 50 g, and ᐉ = 0 .33 3 m. P15 .3. 3: See Problem P15 .3. 1. Suppose the dynamically unbalanced shaft is made of steel with a density of 489 lb/ft 3 . Su...
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Dynamics of Mechanical Systems 2009 Part 1 ppsx
... An=++ 11 22 33 BBn Bn Bn=++ 11 22 33 AB A A A B B B AB AB AB AB AB AB AB AB ⋅= + + () ⋅++ () =⋅+⋅+⋅ +⋅+⋅+⋅ +⋅+⋅ 11 22 33 11 22 33 111 1 12 1 2 13 1 3 212 1 32 3 2 23 2 3 3 13 1 32 3 2 nnnnnn nn ... Pendulum 433 12.6 Closure 435 References 436 Problems 436 Chapter 13 Introduction to Vibrations 439 13. 1 Introduction 439 13. 2 Solutions of Second-Order Differen...
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Dynamics of Mechanical Systems 2009 Part 2 potx
... =− AAA BBB CCC BBB CCC AAA CCC AAA BBB mp BBB AAA CCC AAA CCC BBB CCC BB 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 1 23 12 BB AAA 3 1 23 ABC ABCABCCAB BC A BA C CB A AC B ⋅× () =⋅×=×⋅=⋅× =⋅×=−⋅×=−⋅×=−⋅× 05 93_ C02_fm Page 34 Monday, May ... − () ×−+ () =+ 234 237 33 6 1 23 1 23 12 ft sec Vnnn nn nnn P =−+ () ++ () =++ 5 83 336 38 2 3...
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Dynamics of Mechanical Systems 2009 Part 4 docx
... + ( () [] =− () [] + () ωωλλνν 22222 2 22 10 3 0 10 3 10 3 1 2 3 2 10 3 2 3 2 ωω ω ωω . // // vRQn nn nn Q z xy xy =× = ×− () =− ( ) + ( ) [] =− − ωωνν 33 33 32 3 495 495 2 2 2 2 35 35 ωω ωωω . ./ / 10 15 35 23 −=− ωω 33 2 35 23 ( ) =−/.ωω ωω 23 244 ... + 1 23 4 567 32 3 21 3 21 132 11 412 10 1 23 10 12 15 3 4 8 36 24 2 23 1 3 3 11 233 1 32 2 8 3...
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Dynamics of Mechanical Systems 2009 Part 5 pps
... ab ab ab ab 11 22 33 11 22 33 1111 1212 131 3 2121 2222 232 3 31 31 32 22 33 33 05 93_ C07_fm Page 2 03 Monday, May 6, 2002 2:42 PM 230 Dynamics of Mechanical Systems where we have made use of Eqs. (7.12.4) ... == 1 23 356, , 92 3 34 3 34 0 3 4 39 8 3 3 8 0 33 4 38 37 8 3 0 12 3 1 23 12 3 − () +− () + () = − () +− () + () = () + () +− () = aa a aaa aa a...
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Dynamics of Mechanical Systems 2009 Part 6 pdf
... β βββ ββ ββ 1 2 21 2 23 12 2 31 23 2 31 23 2 23 1 12 12 12 12 52 32 ggll 112 1 23 12 0+ () + ()( ) ++ () =ββββg l sin 53 32 12 53 13 12 32 12 12 23 231 32 33 1 2 21 2 23 12 2 3 () + () ++ () + () [] + () + [] + () + () [] + () + () + () + () + () cos ... disk. αωαωαω 112 233 === ˙ , ˙ , ˙ ˙ ωωω 1 232 233 11 =− () III ˙ ωωω 231 331 122 =− () III ˙ ωωω 31 2112 233 =...
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Dynamics of Mechanical Systems 2009 Part 7 pps
... 1 2 22 2 2 33 3 2 vIIIωωω Fa= m Fv av⋅= ⋅m 05 93_ C10_fm Page 32 9 Monday, May 6, 2002 2:57 PM 33 0 Dynamics of Mechanical Systems The left side of Eq. (10.6.2) may be recognized as the power of F (see ... 1112= () + () llωω v 012 23= () +llωω ωω ω ω 21 1 2 31 3−=− () or 05 93_ C09_fm Page 30 0 Monday, May 6, 2002 2:50 PM 32 4 Dynamics of Mechanical Systems...
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Dynamics of Mechanical Systems 2009 Part 8 docx
... , x P x P x PP x P x P x P P x P x P x PP x x 1 1 2 1 3 11 1 2 2 2 3 2 3 1 3 2 3 3 3 112 122 1 00 002 00 ====+ () == ==+ () === θ θ θ l l 33 3 32 =+ () l x n 05 93_ C11_fm Page 37 0 Monday, May 6, 2002 2:59 PM 36 4 Dynamics of Mechanical Systems Observe ... k x x C mg kx kx x P x P 11 22 31 3 2 1 32 32 3 2 3 3 0000000 2 nnv jn nnv ˙ ˙ cosθ 05 93_ C11_fm Page...
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