Dynamics of Mechanical Systems 2009 Part 12 pptx

... AM 540 Dynamics of Mechanical Systems 16.2 A Survey of Cam Pair Types As noted earlier, the objective of a cam–follower pair is to transform one kind of motion into another kind of motion. ... rotating shaft with unbalance particles. 1 in. Flywheel (125 lb) 12 in. P P Ω ᐉ 1 2 0593_C15_fm Page 535 Tuesday, May 7, 2002 7:05 AM 576 Dynamics of Mechanical...

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... Monday, May 6, 2002 2:06 PM 126 Dynamics of Mechanical Systems Using polar coordinates the constraint equation is: (5.2.2) The number of degrees of freedom of a mechanical system is sometimes ... m 3 m 12 m 60° R Box tttω= ++ () ++ () 2 12 2 3 24nn nrad sec R n n n 3 ft 4 ft 12 ft A B 3 2 1 0593_C04*_fm Page 120 Monday, May 6, 2002 2:06 PM 92 Dyna...

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... 0 0120 00 12 00 0 0120 00 12 2 2 2 2 l l l l and Tn AB AB AB z m=− () l 2 12 ˙˙ θ Tn AB BC BC z m= () l 2 12 ˙˙ φ 0593_C15_fm Page 521 Tuesday, May 7, 2002 7:05 AM 510 Dynamics of Mechanical Systems 14.5. ... view of the rotor showing G and a point O on the axis A–A . 0593_C15_fm Page 513 Tuesday, May 7, 2002 7:05 AM 516 Dynamics of Mechanical...

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... coordinates (r, θ, z) of P. b. Find the spherical coordinates (ρ, φ, θ) of P. Vij k=++3 4 12 ft sec 0593_C01_fm Page 12 Monday, May 6, 2002 1:43 PM 24 Dynamics of Mechanical Systems However, the ... and robotics systems; and by a need to have a better understanding of the dynamics of biosystems. The book is intended to enable its readers to make engineering advances in...

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... =− AAA BBB CCC BBB CCC AAA CCC AAA BBB mp BBB AAA CCC AAA CCC BBB CCC BB 123 123 123 123 123 123 123 123 123 123 123 123 123 123 123 123 12 BB AAA 3 123 ABC ABCABCCAB BC A BA C CB A AC B ⋅× () =⋅×=×⋅=⋅× =⋅×=−⋅×=−⋅×=−⋅× 0593_C02_fm ... sum of products of the elements of the ith row of A with the corresponding elements of the jth column of B. Specifically, (2.10.5...

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... + () ==−− 123 34 567 133 112 32 2 13 223 0 3 10 4 15 3 8 4 8 0 12 12 16 30 60 24 32 1131 144 192−+nn Mnnn O =−−160 30 168 12 3 ftlb 0593_C06_fm Page 168 Monday, May 6, 2002 2:28 PM 160 Dynamics of Mechanical ... coordinates of the instant center C of B and the velocity of point Q of B whose coordinates are (2, 4). Express the velocity of Q in terms of n x and n y . P5...

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... 22 33 1111 121 2 1313 2121 2222 2323 3131 3222 3333 0593_C07_fm Page 203 Monday, May 6, 2002 2:42 PM 230 Dynamics of Mechanical Systems where we have made use of Eqs. (7 .12. 4) and (7 .12. 5). Similarly, ... is: (7 .12. 3) (Observe the similarity of the sum of Eq. (7 .12. 3) with those of Eq. (7 .12. 2).) Then, recall from Eq. (7.4.11) that the second moment may be expresse...

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... β βββ ββ ββ 1 2 21 2 23 12 2 3123 2 3123 2 23 1 12 12 12 12 52 32ggll 112 123 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 ... β−− () ++ () + ()() + () + ()( ) ++ () = 12 32 12 0 123 2 312 123 ˙˙˙ sin sin sin βββ β ββ βββ g g l l 13 12 12...

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... Dynamics of Mechanical Systems The left side of Eq. (10.6.2) may be recognized as the power of F (see Eq. (10.4.2)). The right side of Eq. (10.6.2) may be expressed in terms of a derivative of ... 0 2 2021 1 2 2122 112 12 2 112 −− () +− () = () − () [] + () − () −− () [] + () ll l l llll ωω ω ω ωωωω 12 2 112 02 1 1 () −− () [] = () v ll lωω ω v 01 2 512 1 112= () +...

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... h Imr = () + () − () − () =− () +− +       12 12 12 12 12 22 222222 23 22 2 2 ˆˆ ωωωω Lmhrh=− − () [] 3 Q a 0 Ω Q O Ω 0593_C10_fm Page 342 Monday, May 6, 2002 2:57 PM 354 Dynamics of Mechanical Systems System ... 355 The number of degrees of freedom of a mechanical system is the number of coordinates of the system if it were unrestricted minus the...

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