MAE2102_Exam2_practice_B2_Solutions

MAE2102_Exam2_practice_B2_Solutions - Dynamics: Practice #2...

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Unformatted text preview: Dynamics: Practice #2 Kinematics & Kinetics of Rigid Bodies 1. Determine th the cylinder. The tension in the rope is 12 N. The cylinder has a mass 0 1 g, and a radius of 0.02 m. Assume the cylinder does not slip as it rolls. : aamwtsw/ H At; mama" -=> NEH/mus 2%»w' i No SWPaEW n-v Wrw/ ar-‘il‘ol. F9" W 2. At the instant shown, the 20.11:. bar is rotating downwards at 599V 2 radfs. The spring attached to its end always remains vertical due to the roller guide at C. If the spring has an unstretched length of 4 it and a stiffness of k=3 lbi’ft, determine the angular velocity of the bar the instant it has rotated downward 30 degrees below the horizontal. 0 {W6 ——\ . WWW —; MA/iffi‘i‘i’i WW . Flt/Vim meta \ w- Mess-V . Véméfifll 3. A thin rod ofmass 2kg and length #15 rn has an angular velocity (co = 4 1‘3de while rotating on a smooth surface. Determine its new angular velocity just after its end strikes and hooks onto the peg and the rod starts to rotate about P without rebounding. v MID/W” camerama- . awaiting yawn? 7‘79}: fi/Vét/s-atf .—- i v I‘toflfifl W1 . 9 gamma; imam/5.5 ”" 9919665 4. At a given instant, the slider block 3 is traveiing to the right with the velocity and acceleration shown. Determine the angular velocity and acceleration of the wheel at this instant. The radius of the wheel is 5 inches. ' time-eta rem; tor AN I__ij§i-"fi,t’i"' , B-ZM-tr'vé N wives may 7 Wm” ' 0 ’ ' A' mama-rear 5. Gear A has a mass of 60 kg and a radius of gyration kc=160mm. If a motor supplies a torque having a magnitude M=( 1 .2t) N*rn, where t is in seconds, to gear A, determine the angular velocity of gear A in 3 5. Initially, gear A is rotating at to.=2 radfs. 5- Wm Weave _ _ I :3 FA W: 045 32mg P1P Visa v Manatee weary M9?“ 5"?in R. Gist (Sum. ’06) 1 of 2 Ver. B, Rev. 2 Dynamics: Practice #2 Kinematics & Kinetics of Rigid Bodies 6. The elevator car E has a mass 'of 1.80 Mg and the counterweight C has a mass of 2.30 Mg. If a motor turns the driving sheave A with a torque of M=15 N’fin, where B ' m is in radians, determine the speed of the elevator when it has ascended 14 m starting A from rest. Each sheave A and B has a mass of 150 kg and a radius of gyration of k=0.2 In about its mass center or pinned axis. Neglect the mass of the cable and assume the cable does not slip on the sheaves. - Emma-a, meme. v PM WE- WMQ - Mutnfioé. 2913669 6003153 magma. 9i: waRK 3» 94%” 7. The vertical-axis windmill consists of two blades that have a parabolic shape. If the blades are originally at rest and begin to turn with a constant angular acceleration of at, = 0.5 radfsz, determine the magnitude of the velocity and acceleration of point A on the blade after the blade has rotated through two revolutions. ' megcgfigffiffl macaw. {LEA/g MW” Wt”?! ‘ A“) “46‘ “V5” fluflJM-wmv R. Gist (Sum. ’06) 2 of 2 Ver. B, Rev. 2 355-33 . f 5(L)»Wz, 1 . .‘ ,3 i .3; 594%? h ZFfmaz ZE’MQM “L W "WE-3:49 "€c+lz=m y! F? TF3. Max:921». F2= awn-44¢, . £M6= 2(2"); 41 New: 07;?! #15,; $2M- . No 5M5UG I scams +0326 = Ia“ . l ‘ 6W as?“ F¢'(00?)= fl‘fYaW-sz ' ' . Fr aowggy I244; J . I . . 245 = 0'7“ 1 * ' “WM'VWM 9:5 MW 4 _ Tm : KW; I fir?!” "‘3‘ “aka-V)? éM+éEf£4¢Y ' %(%'%f:zsé‘xz‘)+%2ou.2-(ss,-..w=aéfiifiw,‘ [001412.33 E } " MM 3:5 "fizz/j [54.5% - wzufifli/afifi 44sz P. QWCL -W'P . W.” ‘2’ “3% WM: Mo WWW men W: (IA: Iéfmdi : 5” CIR): “‘5 z 4.. -Z.. ‘1. 2 ' - - 2M1 W. '37”! w .. _ _"j ’ ’ 7' 4°w2"*“4“?37“/E ‘5‘ 1 i = My); 1 i. 1...? . ' I mm H 0% __., o 0 0 —--IO A VA” - 0 w 9 57 —- g 4‘ é’ s '5‘“ “0w” A5 5 Vs 5» i @1349 ' PM 60%?“ J5 . i' _ :(HGJsMGJ, +5, m M- Iflwfi Log 4» mth 0.5%)«1»: 0.534%» 4— 1.215 I: _ U «.97; K, _ wpirfi;*§§z% ~43qu 1 J : E I i {Jame-vfié'mvfi 2-1969”) = @+ Madame?! +M-9 - J.— 2. m? v‘+iaasoo v." +i-2-év-(—.‘o’~—)z wwww vrwrfixi «wzflé p@uhyr 'Aa=z s A9=Z;2fl“)“ffl’”4( | i WfiéwdeffiwaAzflflamaawwag wpzrqgc‘ + 2 $43.69 ‘2 ...
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This note was uploaded on 09/13/2009 for the course ME mae 1502 taught by Professor Bills during the Spring '09 term at University of Colorado-Colorado Springs.

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MAE2102_Exam2_practice_B2_Solutions - Dynamics: Practice #2...

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