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lecture26 - IF po'w‘!‘ A l“ CHOSEN P93 EITHER 03 ca E...

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Unformatted text preview: IF po'w‘!‘ A l“: CHOSEN P93 EITHER. 03 ca, E QQ s; A Ffib "Pouv'r-/Clk A; —C1_Aa= 5) ”THE N “ s o 0mg? £MA3-Igac SiMiLfihTO ‘51:: {VI/\Q , _—__——;_—_—_— ' C’ C Point mass mass less s oon) Mass (m) Radius (R) Fixed Axis f of rotation \ Moment (M) What is the relationship between the applied angular (force) moment M and angular acceleration 0L ? I (analogous to linear F= ma) Gm ass mass lesss 0011 / M: NI}: |H1§IR M=(m(Roc)) Rf" Defined as mass moment of Inertia of point mass IP of the point mass m Radius (R) Moment (M) FX = + N - N FX =0 If Rotation is about the center of Mass net reaction force is Zero Fixed Axis of rotation Moment (M) @fi R Free Body Diagram FX= - sum horiz components of Ni F = - sum vert components of Ni | \ \ 2 _ 2 ) \ml R1/ (1 M2 _ \EIIZ R2// 0L / 2\ (\m3R3 0L M = M1+ M2+ M3 M = (m1 (R02 + m2 (R2)2 + 1113013)2 )0” M =2 (m (192) a Where Ip= 2 mi (R192 R f '1‘ \ ={ [ rzdrnl'a drer-r-dG-dr-t = J p-r-t-rzdrde .a " ,0 0 x F '2- ‘ 2 W R " n /R4w5 04 \ ”R4 04 4 r3drd9W-p-t-0L M= l—# *} d9 -p-t-oc M= ( l-(Z-n — 0) -p-t-a O 0 “x 4 4 ,» '\. 4 4 o c a? A 3 - b force is applied to the end of a rope which is wrapped around the outside of an 18-in.—diameter cable- drum as shown below. If the GOO-lb cable drum can be treated as a uniform cylinder, a) determine the angular acceleration of the cable-drum and the time required to rotate the cable-drum 3 revolutions. b) Repeat part a if the BOO-lb force is replaced with a BOO-lb block as in Figure to the right . 300 1b \ q * =(? 2 4x I : 1 Q= 137:“- DRUI‘K Wu: goo“: 10“! ML): 1:3 GSFGGS 2/, ¢W%s‘31 # :1, )1 T °I -. QEQEV. .79; Ecol-Jag 60 be; “— Q°NSTAWr e =<L+Q.Gr3%4,>_é +Q’ Qg'tj‘o‘6*=o -===CL,=~Q w QO‘rQ‘U $wc¢ CABLE D563 NO r :90 STRFTQH QM e co ‘9 e46) -== 56%) + CL =§Wfiq3ws§t+ 9; 'e—Cé7=(&3W93n-/S1EEZ+ CL Qt= o 6—: e: . «we—es):— 94. we 71-1 W W Cém115c$aaficf '6'C7’D__3C27;) BC‘QWWU : game; 7“ 9‘ M wA=1oog O R w = 800 lb ///////////////,,,, w b = 100 lb Disc Disc diam= 18 in. Released from rest 1) What is the acceleration of block B ? 2) What is the angular velocity of the disc in 5 sec. ? © Mf/l/mea-T/ a 5 a6: (M1 24? \Vp‘fi 3.04m) om ”72675-3 —7;(,75)=¢,c;g7 g. “51.7. ‘3 {H‘s<~ C3 SGLVINE‘ an 0—QSIMULJ' vaES: '75: -_-_ 39999.5) ’73:: Mummy Q 2 (9. = I A: 32w) akab : no / CO ‘6'" 3 13.760 Wad/3L“ o (3:337; W93 CflalL + C , 4w . aigflézeé :— + Q! : ‘-"— on)‘é<0)=.6 #Q '. Q ////////////////.¢,,, Disc Diam. = 18 in. wA=1oogd5 w =800|b wb=1001bEJ Disc B If released from rest and the coefficient of kinetic friction between B and the surface is . 2 1) What is the acceleration of block B ? 2) What is the angular velocity of the disc in 5 sec. ? ...
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