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SOAL: SISTEM PORTAL 2 DIMENSI QUIZ Penyelesaian :A.ELEMEN AB(1) Dikea!"i:A : #.1 $%&E : 2##### k'($%& ) 2## ($%&I: *## $%+ : ,* -L1 : (./y) ) 1# %L2 : (0) ) 1 %L2 : (.) ) 1 %q : (y/0) ) 13 (%P : (./0) ) 4 5nTen"kan 6ekak"an ele%en Me57e Ma8i.9AEL # #AEL # ##12 EIL36 EIL2#12 EIL36 EIL2#6 EIL24 EIL #6 EIL2EIL:KL1; )AEL # #AEL # ##12 EIL36 EIL2#12 EIL36 EIL2#6 EIL22 EIL #6 EIL24 EIL0,1. 2001000 # #0,1. 2001000 # ##12. 200.500100036. 200. 50010002#12.200. 500100036. 200. 50010002#6. 200. 500100024. 200.5001000 #6. 200.50010002200. 5001000i ) Bj ) A+ ) 23#:KL1;)0,1. 2001000 # #0,1. 2001000 # ##12.200. 500100036. 200.50010002#12. 200.500100036. 200.50010002#6. 2000. 500100022. 200.5001000 #6. 200.500100024. 2000.5001000>>3 0 1 250 0 -1 814 A1AB 0 0 0 0 0 0 =14.1*3U< 226 0 0 226 -226 0 #?< -226 0 0 -226 226 0 =>1A< 0 0 0 0 0 0 4#.>>3RBA/1.1 0 0 1 0 0 0R?A 0 -20 0 0 0 0MA=3.24 -1 0200 0 0 0RBD 0 0 0 -8 -8 0R?D 0 0 0 -8 -8 0MD 0 0 0 0 0157) =21.>442.1*=1#2,#.122#.34,2.1*=4122.4#RAH ) =21C>4 / 1C1 ) =12C*4RAV ) 42C1*MA ) =1#2,#C12= 3C24 ) =1#2,3C,1RHD ) 2#C34RVD ) ,2.1*MD) =4122C4# CROSS CHECKD? ) RA? / RD? E (F.l) ) 42C1*/ ,2.1*E (13 . 1) ) #DB ) RAB /RDB / P ) =12C*4/2#C34/4) #SOAL: SISTEM RAN@6A BATAN@ QUIZ Na%a: ?i58en0a EGe8lynNH% : 122 11# 141P1 ) 1# TONP2 ) * TONP2 ) 2 TONL ) 1# %+ ) >#Ten"kan 6ekak"an ele%en Me57e Ma8i. 9Penyelesain:ELEMEN AB (1) = ELEMEN CD (5):6L1; ) AE10[ 1 0 1 00 0 0 01 0 1 00 0 0 0] :T1; )[ cos60 sin 60 0 0sin 60 cos 60 0 00 0 cos 60 sin600 0 sin 60 cos 60]ELEMEN AB (1):6@1; ) :T1;T . :6L1; . :T1;0.5-0.866 0 0 1 0 -1 0 0.50.866 0 00.866 0.5 0 0 AE 0 0 0 0 X-0.866 0.5 0 00 0 0.5-0.866 10 -1 0 1 0 0 0 0.50.8660 00.866 0.5 0 0 0 0 0 0-0.866 0.5UA VA UB VB0.25 0.433 -0.25-0.433 UA0.433 0.75-0.433 -0.75 VA-0.25-0.433 0.25 0.433 UB-0.433 -0.75 0.433 0.75 VBELEMEN CD (5)0.50.866025 0 0-0.866025 0.5 0 00 0 0.50.8660250 0-0.86603 0.5:6@*; ) :T*;T . :6L*; . :T*;0.5-0.866 0 0 1 0 -1 0 0.50.866 0 00.866 0.5 0 0 AE 0 0 0 0 X-0.866 0.5 0 00 0 0.5-0.866 10 -1 0 1 0 0 0 0.50.8660 00.866 0.5 0 0 0 0 0 0-0.866 0.5UC VC UD VD0.25 0.433 -0.25-0.433 UC0.433 0.75-0.433 -0.75 VC-0.25-0.433 0.25 0.433 UD-0.433 -0.75 0.433 0.75 VDELEMEN AC(2) = ELEMEN BD(4) = ELEMEN CE (6):6L2; ) AE10[ 1 0 1 00 0 0 01 0 1 00 0 0 0]i ) A C B C ; ) ELEMEN BC (3) = ELEMEN DE (7)i ) < C Ej ) B C D+ ) 2##1 0 0 00 1 0 00 0 1 00 0 0 1UA VA UC VC1 0 -1 0 UA0 0 0 0 VA-1 0 1 0 UC0 0 0 0 VCUB VB UD VD1 0 -1 0 UB0 0 0 0 VB-1 0 1 0 UD0 0 0 0 VDUC VC UE VE1 0 -1 0 UC0 0 0 0 VC-1 0 1 0 UE0 0 0 0 VE:6L2; ) AE10[ 1 0 1 00 0 0 01 0 1 00 0 0 0]:T2; ) ELEMEN BC (3):6@2; ) :T2;T . :6L2; . :T2;0.50.866 0 0 1 0 -1 0 0.5-0.866 0 0-0.866 0.5 0 0AE 0 0 0 0 J0.866 0.5 0 00 0 0.50.8661# -1 0 1 0 0 0 0.5-0.8660 0-0.866 0.5 0 0 0 0 0 00.866 0.5UC VC UB VB0.25-0.433 -0.25 0.433 UC-0.433 0.75 0.433 -0.75 VC-0.25 0.433 0.25-0.433 UB0.433 -0.75-0.433 0.75 VBELEMEN DE (7):6@3; ) :T3;T . :6L3; . :T3;0.50.866 0 0 1 0 -1 0 0.5-0.866 0 00.5-0.866 0 00.866 0.5 0 00 0 0.5 -0.8660 0 0.866 0.5-0.866 0.5 0 0AE 0 0 0 0 J0.866 0.5 0 00 0 0.50.8661# -1 0 1 0 0 0 0.5-0.8660 0-0.866 0.5 0 0 0 0 0 00.866 0.5UE VE UD VD0.25-0.433 -0.25 0.433 UE-0.433 0.75 0.433 -0.75 VE-0.25 0.433 0.25-0.433 UD0.433 -0.75-0.433 0.75 VDGLOBALUA VA UB VB UC VC UD VD UE VE1.25 0.43 -0.25 -0.43 -1 0 0 0 0 0 UA0.43 0.75 -0.43 -0.75 0 0 0 0 0 0 VA-0.25 -0.43 1.50 0.00 -0.25 0.43 -1 0 0 0 UB-0.43 -0.75 0.00 1.50 0.43 -0.75 0 0 0 0 VB-1 0 -0.25 0.43 2.50 0.00 -0.25 -0.43 -1 0 UC0 0 0.43 -0.75 0.00 1.50 -0.43 -0.75 0 0 VC0 0 -1 0 -0.25 -0.43 1.50 0.00 -0.25 0.43 UD0 0 0 0 -0.43 -0.75 0.00 1.50 0.43 -0.75 VD0 0 0 0 -1 0 -0.25 0.43 0.25 -0.43 UE0 0 0 0 0 0 0.43 -0.75 -0.43 0.75 VEKONDISI BATAS[ F] ) : 6 ;. :U ;{FAGAFBGBFCGCFDGDFEGE}{RHARVAP=10ton00P=2ton0P=5ton0RVE}{UAVAUBVBUCVCUDVDUEFE}REARRANGEMENTUB VB UC VC UD VD UE UA VA VE10 1.50 0-0.250.43 -1 0 0-0.25-0.43 0 UB0 01.500.43-0.75 0 0 0-0.43-0.75 0 VB0 -0.250.432.50 0-0.25-0.43 -1 -1 0 0 UC-2 0.43-0.75 01.50-0.43-0.75 0 0 0 0 VC0 AE -1.00 0-0.25-0.431.50 0 -0.3 0 00.43 UD5 10 0 0-0.43-0.75 01.50 0.4 0 0-0.75 VD0 0 0 -1 0-0.250.430.25 0 0-0.43 UERHA -0.25-0.43 -1 0 0 0 01.250.43 0 UARVA -0.43-0.75 0 0 0 0 00.430.75 0 VARVE 0 0 0 0 0 -1 0 0 00.75 VEREDUKSI MATRIX101.50 0-0.25 0.43 -1 0 0 UB0 0 1.50 0.43-0.75 0 0 0 VB0AE-0.25 0.43 2.50 0-0.25-0.43 -1 UC-2100.43-0.75 0 1.50-0.43-0.75 0 VC0 -1 0-0.25-0.43 1.50 0-0.25 UD5 0 0-0.43-0.75 0 1.50 0.43 VD0 0 0 -1 0-0.25 0.43 0.25 UEINVERSUB 1.875-0.5050.750-0.5771.375-0.361 1 10VB -0.5051.292-0.433 1-0.2170.542-0.577 0UC10 0.750-0.433 1-0.2890.750-0.144 1 0VCAE -0.577 1-0.2891.833 0 1-0.577 -2UD 1.375-0.2170.750 01.875-0.072 1 0VD -0.3610.542-0.144 1-0.0721.292-0.577 5UE 1-0.577 1-0.577 1-0.577 2 0UA -0.25-0.43 -1 0 0 0 0VAAE -0.43-0.75 0 0 0 0 0VE100 0 0 00.43-0.75-0.43-10)-2.080199.080189CROSS CHECKK?) # KB) #R?A / R?E EP2 E P2) # RBA / P1 ) #=2.#1#14 / 4.#1#114 E * E 2 ) # =1# / 1# ) ## ) # OK! # ) #OK!GA"A BATANGELEMEN 1 # = A $ = B {FAGAFBGB} ) :T1; :6@1; {UAVAUBVB}{FAGAFBGB} ) [0,5 0,87 0 00,87 0,5 0 00 0 0,5 0,870 0 0,87 0,5 ] AE5[ 0,25 0,435 0,25 0,4350,435 0,757 0,435 0,7570,25 0,435 0,25 0,4350,435 0,757 0,435 0,757 ] 5AE{0021,7099,760}ELEMEN 2# = A$ = C {FAGAFCGC}) :T2; :6@2; {UAVAUCVC}{FAGAFCGC}) [1 0 0 00 1 0 00 0 1 00 0 0 1] AE5 [ 1 0 1 00 0 0 01 0 1 00 0 0 0] 5AE{008,79914,440}= ELEMEN 3# = C$ = B-2.4002.400{FCGCFBGB}) :T2; :6@2; {UCVCUBVB}{FBGBFCGC}) [ 0,5 0,87 0 00,87 0,5 0 00 0 0,5 0,870 0 0,87 0,5 ] AE5[ 0,25 0,435 0,25 0,4350,435 0,757 0,435 0,7570,25 0,435 0,25 0,4350,435 0,757 0,435 0,757 ] 5AE{ 8,79914,44021.7099.760 }) ELEMEN 4 # = B $ = D2.400-2.400{FBGBFDGD}) :T,; :6@,; {UBVBUDVD}{FBGBFDGD}) [1 0 0 00 1 0 00 0 1 00 0 0 1] AE5 [ 1 0 1 00 0 0 01 0 1 00 0 0 0] 5AE{ 21.7099.76014.11112.067} =ELEMEN 5# = C$ = D {FCGCFDGD}) :T*; :6@*; {UCVCUDVD}{FCGCFDGD}) [0,5 0,87 0 00,87 0,5 0 00 0 0,5 0,870 0 0,87 0,5 ] AE5[ 0,25 0,435 0,25 0,4350,435 0,757 0,435 0,7570,25 0,435 0,25 0,4350,435 0,757 0,435 0,757 ] 5AE) -4.7104.710ELEMEN 6# = C $ = E{FCGCFE }) :T>; :6@>; {UCVCUEVE}{FCGCFE })[1 0 0 00 1 0 00 0 1 00 0 0 1] AE5 [ 1 0 1 00 0 0 01 0 1 00 0 0 0] 5AE) ELEMEN 7# = D$ = E {FDGDFE }) :T3; :6@3; {UDVDUEVE}-5.2405.240{FDGDFE }) [ 0,5 0,87 0 00,87 0,5 0 00 0 0,5 0,870 0 0,87 0,5 ] AE5[ 0,25 0,435 0,25 0,4350,435 0,757 0,435 0,7570,25 0,435 0,25 0,4350,435 0,757 0,435 0,757 ] 5AE ) 18.350-18.350