HW 2 - ME 331? HW 2 SolHow Hg 8.4.6. Consider the...

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Unformatted text preview: ME 331? HW 2 SolHow Hg 8.4.6. Consider the illustrated biomechanical model of a @ ~ H g 5 MN Y Ram e“. person’s left arm. The person rotates her upper armXEwith constant angular velocity (1)1 b1, so that it goes from pointing W ' x; M M 3 straight down to pointing directly ahead in 1 st The bi set of F”: “W' unit vectors is ﬁxed to the upper arm AB. At the same time '_ that she’s raising her upper arm, she rotates her forearm N r. as! M (ELM g BC with angular velocity cozbz (a); constant), so that there’s ' 6’" V a 90°. bend between her upper arm and forearm at the end of 1 5. What is the forearm’s angular acceleration during the _ b motion? \ ‘ Ux " l J ‘ g M ‘ Z J lid I ‘3: Ln: _ 7T __.———— er .3— . E gee,» ; E8.4.6 85500 @ : AW ﬂame {Yak/we. :WW‘C‘A ngggsseg abm'} ’HAL i @ : MQVHM\ HMvV‘é ‘ gP/B 1 “2;; : @219; J Una/Hal V‘zVHcaL ® : Propeﬂw (S‘Yamg § Q FIN) ‘ _ {A tW§ Wyang . P ‘ iMET!va ’1 /I n; A A w 1 bop/r; Z COP/a + 5/: ~A - ._ l wP/L 13002, ‘0; +5203 E3 1 a: : 5:) u d(wzgz> + atwﬁbg) ———® P/1: pl: -——- W 6 E“ ‘3 ~ 8 y m _- _ _, How”) : &(Wzba) + (:53 x wzba _ (X \01 + wggj meb 3" M /E 3- ® : (x; b; “wlwg b\ ._ _ a _ Q __ _, _ d “’33) : ®éx_(wgbg) J, (pg/:6 0093-“ Ngbgf 0°3b5>< 03193 dE e ., : (X3; givzo Comb, i 3/g A ‘ —-\ Cf) wP/L 039/5; T E‘/1: A __ ._ I ‘ E _ .. _. a. g : 6: - A (w‘b; wfz b33 {:33 x (“’2 lb; " Mg ‘93) P]: WI T I]: i . s w . “" m , A“ m g" \ I =. wktaz+m\$ig3 +~ st‘EXKwagL gag] { — 2 A a - l .. w , KW: : (X2 L)?‘ +’ . Wm 3 b\ A ‘ u T a t‘ Mar: *wLwabt-E O’xzobL'E-“Wg b3 :1? .§a\ma 6x3: Prvwsg 1pm {N33 032,: gYuAIRL x3 1 qwlscf 0‘1 " “milk A " - "‘ ‘ ~ bA S a”? 1 4m to; + S'bz +0\ b3 wk; ~ ‘ 8.4.1 3. While shopping for dessert, 3 dynamics—oriented 1 shopper dropped a package of ice cream cones, scattering _ them across the ﬂoor. Rather than cleaning up the mess, , the shopper decided to determine the maximum velocity of ‘ a point on the cone. Assume that the cone rolls without slip at a constant speed (completing a circle every 2 s). What is the maximum velocity seen by a point on the cone? Top view Top view I = O t: 1 ‘ ((9 :9 Come, amok/WE» , v _ ‘1 f3 a M Ma. 1—. z. \53 ’1 i t ‘ (1?; w’ A332. g6; (Wil’ 92:0 _\ .3 .3 ._~. DOC/1 3 (NC/C“ + 0961/; + 003/: ml “35500 ' 1 , I 9 I we? . . . A4: er ‘Y‘shwd‘ 05' 3“””"L>+ i Z .. 6‘ [I é! : ’7.- “[230? i i 0.? — , Pﬁ‘C c‘s Cws‘h’M4Mlg ‘1 O ') to wave, but“; Ham/awed , I l :jvxngE (2%?“ U VeJQCVEU &x{, SOWL 2%M5 2 (Au kmmhg ) ‘ 0V” __ 5 A 9 av J C — a C“ §° A : «awﬁkr 3 5‘? '2'5323-1 6c ha u ' M L Is > C I i> 8.4.1 8. A gun platform P rotates about the vertical axis 2, and the/ gun barrel rotates about the x axis. The x, y, z frame rotates with the platform P and has associated unit vectors b1, b2, b3. The platform rotates at 2 rad/s, and its angular acceleration is 4 rad/\$2. The gun swivels up at a constant rate of 3 rad/s with respect to the platform. What are v A and a A at the illustrated position? The gun barrel lies in the y,z plane. gr 0 /\ 2 m E8.4.18 @ "V Ind-Hall bfqu V ®~ Platform gram:— GD Iii—15.1 3‘?‘ “7” ., T? k“ I: km me 14; 7 mg / N Git/MA @wwdp Rom/\L 2. a! ...
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This note was uploaded on 05/16/2011 for the course ME 317 taught by Professor Mcschmit during the Spring '11 term at Oregon.

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HW 2 - ME 331? HW 2 SolHow Hg 8.4.6. Consider the...

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