This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 nv 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 MessV . 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/satf
.— 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. ' timeeta rem; tor AN I__ij§i"ﬁ,t’i"' , BZMtr'vé
N wives may 7 Wm”
' 0 ’ ' A' mamarear 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.  Emmaa, meme.
v PM WE WMQ
 Mutnﬁoé. 2913669 6003153 magma. 9i:
waRK 3» 94%” 7. The verticalaxis 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” ﬂuﬂJMwmv R. Gist (Sum. ’06) 2 of 2 Ver. B, Rev. 2 35533 . f 5(L)»Wz, 1 . .‘ ,3 i .3; 594%? h ZFfmaz ZE’MQM “L W "WE3:49 "€c+lz=m y! F? TF3. Max:921». F2= awn44¢, . £M6= 2(2"); 41 New: 07;?! #15,; $2M . No 5M5UG I scams +0326 = Ia“ . l ‘ 6W as?“ F¢'(00?)= ﬂ‘fYaWsz ' ' . Fr aowggy I244; J
. I . . 245 = 0'7“ 1
* ' “WM'VWM 9:5 MW 4 _ Tm : KW; I ﬁr?!” "‘3‘ “akaV)? 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 {Jamevﬁé'mvﬁ 21969”) = @+ Madame?! +M9  J.—
2. m? v‘+iaasoo v." +i2év(—.‘o’~—)z wwww vrwrﬁxi «wzﬂé p@uhyr 'Aa=z s
A9=Z;2ﬂ“)“fﬂ’”4( 
i WﬁéwdefﬁwaAzﬂﬂamaawwag
wpzrqgc‘ + 2 $43.69 ‘2 ...
View
Full
Document
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 ColoradoColorado Springs.
 Spring '09
 BillS

Click to edit the document details