' +JJJJ ?x\>0='+l>  / X  n e% "+鷎귌췠ᷠ 뷎67Lɯ <= <=` `庠宮    LҦ ³LɆLLҦ  µ)LɥLLѤLҦ :;N:NNH hN ;պ Ժ;L,&Z[\p2Q"(0 P3Q ɿi pLLRͲɊR ^׮p Ѷ8RP˵B̵CpBZ\ @ յյ\BIR -^ ➭\ (p\I Z𐐪L NLA巬 췌`x (`(8`rm`Ժsmaպ`B` ``>J>J>VU)?`8'x0|&HhHh VY)'&Y)xꪽ)' `Hh`V0^*^*>&` aI꽌ɪVɭ&Y&&Y& 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8  '  & x)*++`,G8`0($ p,&"H hH @D@ Jh  DLꢠ ~LLE ҭ !"#$%&'(')*+,-./0123456789:;<=>?  / X % "-+LŠ͠ˠҠԠĭӠɮԠĠΠŠ֠ӠӠФbptťܥm2<(-Py0\|mRǿx8ɍL)?GGLiѼټ ` `l8mµLTHIHHHHhHH݌hHhHh݌H6 ˆʎõĵL õ ĵµȌ aµ`` L̦µ_bJLLzH hB@L  ȟ QlXJ̥KlV  ȟ QlV eօ3LɠL4L³ &RL &QL d L4 Ne)n `ꭜiɴ LE f`L . tQLѤ LҦLL¼` OPu d L Ne)noon Rɍ`\õL$D@8 D@LBR \L RNLҦHv 3h`0h8` LQ õ`A@`8. ŵH fh  F 濭0 \  ȟ Q ^\lZl^=vH şh`fhjõĵ@OAP`u@`@&`QR`F Ls  @DAF@u`8` %@ @A@`@`@A`-µ µ L8@AWc@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@ch8&ȑ@Hȑ@Ah@LHȑ@ȑ@ htphso`hMhL`LծHIDOLOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIFٯTLOATLISDUMDISATSAVDATŭApppp p p p p`" t""#x"p0p@p@@@p@!y q q p@p y@@y@y@p!y@p q@p@   DOS LANGUAGE ABSENRANGDISK PROTECTEEND DATFILE NOT FOUNVOLUME NUMBEI/FULL DISFILE LOCKESYNTAOUT OF BUFFERFILE TYPFILE TOO BIINDIRECT COMMANDAVID-DOS II.2 DISK ABSEN ERROR u`X`*2@MPYdjxϠ@跻~!b]*9~~e)rsrs`_ r j ʪHɪH`Lc (L ܫ㵮赎 ɱ^_J QL_Ls贩紎 DǴҵԵƴѵӵµȴ 7 ַ :ŵƴѵǴҵȴµ納贍﵎ٵ്ᵭⳍڵL^ѵ-I `  4 ò-յ! f 8صٵ紭ﵝ 7L (0BC  7LL{Lg0& JJ yõLõ ŤLµ%J y B B Ť L  Jn Ͱ,0 # ̵µ аL (ȴ) ȴ 7L L ( L (ȴL{ƴѵ洩ƴǴҵ e ^* B0 HȱBh ӵԵ 8 `L8 ݲ` ܫ f ; @D B ! , , ƴ0Lȴ ȴ)  紅D贅@ B ɴ  J$ , 0 Ν Ƀ`HD8H@ຐ@hDh h` ŵBѵ-`, ѵB8` Ꝣ u %ﵭ` fm ﳐ 7i볍 8 `ЉLw`H fh ݲL`~ `浍국䵍뵩嵠Jm赍嵊mjnnn浈m浍浭m䵍䵐`"L ŵ8ŵH P(` dƭ֍뷌ᷩz L*# ׳ܳ 䳩鳩곩i$,V6 LLټ%i[ci,,,ټ躥̺غi躭i3مLABCGحɠ іL³ƭȭ֍ 떙L³֠LXZdflpVVxT4=媗߷iȿ@JX ocu!*3RUN INSTRUCTIONS.A"dA$:A$" "ı eA$(1)į:HI:">RUN N$,I))32)::N$M$2c0,140:"Thank you, "N$".";cN$^c2:0,175:"Press space bar"hc3000c1:0,65279,65:0,66279,66c0,131279,131c0,130279,130c0,70cN$", this program"c"lets you study the force needed""d$(8)A$(127))N$""1120>bB(N$)12A$"A"A$"Z"1060TbLX((N$)),Y:A$;gbVN$N$A$:1060{b`X((N$)1),80bj(N$,1)btX((N$)1),80b~(N$)1N$"":1060bN$(N$,(N$)1):1060c(N$)1M$(N$,1):I2(N$):M$M$((($0000,4:18,4ab640Fal">BLOAD ^START FRAMES,A$7000":$7000Wav216,0:1000va216,0:(222)6ģHI:::a620a1:1:2000:2:2000:3a:2a7,80a3aN$""a49168,0a$A$a.A$(13)N$""1170b8(AF` "Start '`d(21)/`n::`xX(12)J`">BRUNGAP"V`$9F00o`HI(115)(116)256`,">BLOAD]CHOP,A$A500"`6">BLOAD]WAGO,A$800"`J">BLOAD]BLOCK,A$AE00"`$A500,1:10,1`$0800,2:13,2`$AE00,3:18,3a    ` "Hello 2`d43698,190:217,0@`n">HIDOS"L`s5:" "X`xS24576a`S,0w`103,1:104,S256`">RUN START"6">-START" S24576S,0103,1:104,S256">RUNSTART"uO"F = mg sin(a) - uN"%uO73,155>uO"N - mg cos(a) = 0"MuOK1:21000XuO0,95uuO"Solving for F gives"uO20,108uO"F = mg sin(a) - u mg cos(a)"uOK0:21000uO0,125uO"If F is greater than zero the block"vO"will slide dow0tVO"w = -mg cos(a)",tXO169,133:"y":t_O160,140It`O"N = N"\tbO169,143:"y"jtiO160,150ytjO"f = 0"tmO169,153:"y"ttOK2:21000t~O0,110tO"The net force in each of the directions"tO"is zero. Therefore"tO73,140120sO"F = F"$sO17,123:"x"1sO10,130HsO"w = mg sin(a)"Zs O20,133:"x"gs#O10,140vs$O"N = 0"s&O18,143:"x"s(O10,150s)O"f = -uN"s.O17,153:"x"sLO160,120sMO20309sQO"F = 0"sRO168,123:"y"tUO160,13erpendicular "#rN"to the plane."2rNK0:210009rN3IrN80,2293,0ZrN67,4660,64lrN155,80:"x"~rN95,185:"y"rN3rNK1:21000rO0,95rO"The components of the forces in the"r O"x and y directions are"rO20254sO10,ween the block sliding over the"8qN"incline plane is"FqN100,145VqN"f = uN"bqN0,160qN"where u is the coefficient of friction."qNK1qN21000qN0,110qN"Let's make the x axis parallel to the"rN"plane and the y axis p0:0,1102pcN"The weight w acts downward with"ApfN"a force"NpkN90,131_pmN"w = m g"kppN0,150pqN"where m is the mass and g = 9.8 m/sec ."puN266,146:"2"pzNK1:21000pN0,110pN"The magnitude of the force of friction" qN"betn"oMN"incline plane." o[NK1+o\N21000\o]N0,110:"The force N is the normal force"o^N"exerted by the incline on the block."o`N"This normal force is a constant force"oaN"that keeps the block from penetrating":"the incline." pbNK1:2100,70 n7N64,6767,7068,7071,67,n8N65,665n9N"w"Fn:N67,4680,22Wn;N68,4681,22hn=N75,2580,22yn>N81,2282,26n?N hplot 81,51 to 104,58nAN85,15:"N"nGN0,110:"This is a free body diagram showing"oHN"all the forces on the block on a04045m235,YY:"+":4100)m4100Am235,YY:"-":4100Km4100am235,YY:"right"km4100qmwm ~m N1m!N0,188m"N"Assistance"m%N0,12279,12m&N0,13279,13m)N1m*N199m+N104,58:"f"m4N67,4667,70n5N68,46680,1351l "The objective is to find the minimum"[l "values for the block to slide down"tl "an incline plane."zl! llAAAA57.2958lFC((AA))(UU(AA))lFFFCMM9.8lF1FFl(F1).14050lF104045lF104040mF3line"-k "u - the coefficient of friction "[k " between the block and the incline"}k "m - the mass of the block."k 0,90k "Given these values the program will"k "tell you if the block will slide down"k "an incline plane."l WYY15$j0:200,WW275,WW15:34jII(F110)AjANII10Uj225,WW:(AN)[jaj ij 3j 0,0:"Instructions"j 1:0,18279,18:0,19279,19:1j 0,30j "In this program you are asked to input"k "a - the angle of the incLA1$"."FD0FD1:11156iMA1$"0"A1$"9"1115@iQ1025Oi["_":L1ui`A$A$A1$:LL1:A1$;:L1:1020|i0i18,115276,160i3i:900i1:2i0,176:"One moment"i:">RUNEND"i only answer for last runjW080 h"_""h(A$,1)"."FD0OhLL1:L1:(A$,1):LA$(A$,L):1060YhA$""ch$1020ph8A1$(A)h:A1$"?"į10:2:20000:1:10:1025h;E11085h<A1$"A"į10:1240:10h=A1$"C"1200h@A1$"Q"1220hBLFDXX1025i225,145:(AN)g9557g10:2:20000:1:10@g955Fg^gX2,Y5XNN,Y15hgX,YgA$"":L0:FD0:49168,0gL1gL1:"_":L1gAgA13LN(A$):"_":X,Y:0:X2,Y5XNN,Y15:X,Y:hA8A127L0135:1000fMM(A$)DfMM0MM100Ē0:X2,Y5XNN,Y15:930Nf4000Tf]fA$mfA$"C"970}fA$"A"980fA$"?"990fA$"Q"1220f955f0:18,115276,160:3:900f0:200,145275,160:3fII(F110):ANII10g  )7  &P&Q` PQ A W۩ PQ $ LW۩ ` C5L  Q W۠PPPQ L  ޠPȱPL   P PQ`PQ` L L PQ PQȑ Ә8eL  A U LPL )nL^HHLLcŵ֡ʣئ̫x5mK,y%+:=h*' $ gLRPQ     AA10lvF10:A1F11(lA2A:680VlA$(8)A$(11)A1A:AA1N(A1):680lA$(21)A$(10)A1A:AA1N(AN):680l450l5W(A11):P3:N$(A1)l420l"InstructionslINSTRUCTIONS.AonsfINSTRUCTIONS.Ag"Pra30 kk(49152)127540(k4504k" "B$;Bk&A$:A20Uk0A$(13)600zk:R$(A)"#"į N$::">RUN"R$(A)kDI19:(N$(I),4)"Inst"ĺ:">RUN"R$(I)kN:kXA1(A$):((A1NA1)(A$"0"N9F1))650kbA1A:A(A$)llF1A10NURN accepts"?jEĖ4:"1-"N", arrows select; RETURN accepts"GjA1Vj5W(A1)jjP3::N$(A):j8W(N1):29:" "B$B$;:A2ĺA2;j"_"B$;jI140:(49152)127I50jj(49152)127540j" "B$;kI125:(49152)127I0W(N1):V:Z1$;:40:Z2$;:`iT11W(N1):Z1$"______________________________________"Z2$B$ki^A1Nih5W(A1):P(A9):A". "N$(A)iri|8W(N1):13:"Select Segment: "; j10W(N1):4:Eĺ"1-"N" or "M$"J"M1$" "M$"K"M1$" select; RET$):N$(A)"Return to Program":R$(A)"#":AA1:11PP11ehN$(N$,2):(N$,1)"0"(N$,1)"9"280oh"NA1h,W2:N7W1h61:" ______________________________________"h@Z1$"____________";::" Teacher's Menu ";::"__________"Z2$;iJV31190=g$2F0,201,251,176,6,201,225,144,2,233,32,76,240,253Qg54,$2F0:1002[gAA1eg240vgN$(A),R$(A)gP1(21.5((N$(A))3)2):P1PPP1g190g216,0:(222)42ĦgN$:N$""290g(N$,1)"#"2907hN$(N$,2):S(Nf "Teacher Menu 2fd::(21):EfnN$(20),R$(20)jfx(64435)234(64448)234E1fB$(8):M$(27)(15):M1$(24)(14)fZ1$"|":Z2$Z1$:EZ1$M$"Z"M1$:Z2$M$"_"M1$fP12g(64435)234Ĺ49162,0:">PR#3":(17): 110aL279,198L18:N$#aV:+a`486ajW12BatL114Xa~L2020,191:N$`a:ha16saW12aL114a295L20,0:N$a:a0a1aI1(28672)1aIaA$:A$" "1260aaIa ::NUN T `d(21)`n1:0*`$7000:$7000^`(8181)0ĺ">BLOAD]BLOCK,A$AE00":$1FF4,$AE00f`3`">BLOAD^END FRAMES,A$7000"`6:`0::3`1`N$`W12`L110`0,L1818:N$`$:`.32`8W12aBL  0wR0!wRK1į0,110279,1919wRK2į0,95279,191Rw RK0į0,176279,191_w!RK3į1lw%RK9į2rw&RKR KKn the incline plane."$vOK0:210000vO0,150XvO"If F is less than zero the block"vO"will not slide down the incline plane."vOK9:21000vO3000vOK4:21000vOvR1:0,176v R"Press space bar"vRA$vRA$" "21020wR2101???-M ->;.MI)>?---5???-M ->;.MI)>?---??II --???-M ->;.MI)>?---->??NI)>ۛmI 5??---??II J:7->J:7->IJ:7->J:7->woJ >-M????----5????->IIJII:???7----????.--- JJI7-????.----????NI-7I --???-M -????III --???-M ->;NII5?--5??wI->ۛmI 5??---??II III5?-5??- 5;-M)>7----5????wI 575I-----5????757mI???7----?5*MI)>?---??II --???-M ->;.>. --????.mI->;.MI)>?---??II -----5????wII)>-?-?-7575II --?----?--m)M۷IIRI757m????7----757JI ?7-5?.o III:????.----JJ:7->IIII5555555II --???-M ->;.MI)>;.MI)>;.MI)>;.MI)>?---??IIII 5?7-575757575*-->??VII- --???-M ->;.MI)>-?-?-?----5m)>7m)>*---->????Nm)>*---->????Nm)>7m)>߷II II5*--5???7m57---???Nm5---???N)>VI))m 5;?7mm5??- 55m?m-->m)-?;VII I)>--???- m-;.M5;.Mm??---??w)>VIII)?7-5?.RI 575757575w w575757575IRRIm)Mw--ad0[5EZg|?j6s1nCfNg-` 1 n  > l  Q x 5 b r $ O | )I'''0I575757575*>Vmm)>7m)>߷JI      Ӱ hIiHӅхhЅhIi҄f8Ъх` e8e҅ԥ k 0"H h gLy  k  g  (Ӱ eЅԥeP,pLZL^2^% TgTPNTRPE)L`&  38`` N  N `LNhh`Ϧ  ݩ`8`    `(LN&E=Q&&&` <=H <=hL ^ LHhH8H4 ⎺ -Ȏ`L   Ll0 LW  L> PQ`L:ۍРֳנ嬠ȍ&E%Q&Hh&̽h` ( 퍷` mLHHH)  9L L ) 8d* &'0H   hhhh`eȱe騥,LL] `'83̳,̰'$< H ߷II?I??.M5;.-;.M??VIII?m)757m)?IIߒI??.M5;.M5;.M??VIINI??757--;.M??IIޒI??757--;.>VII5I?m)7m?7m)>?III;.M5;.-->7m)>߷III:?5757m??III?m)>-m)?III?-5m)???N 5I-I??757--7??VII?I?m)7--;.M?III??wI75III?m)>w-;.M?IIwI?m)>w-->m)?IIR:R M :u -I>-M???7---?5VI :RI:?wI:?RI -I7-???7---?.??m???m5III*--w--*--޷II:m)w)m) m?.JI57R6I:75wIw75I Imm??w)??mmIINR)>--;.Iu ?*--RIRIJI I?m)>7m)>7m)?II->.>.?I I?m)>ad(:GQ`n6Lfy*C^u4Ef 9Qr0HYq &<Rh}(=O]nvI7575w:V m57mR-I7m?   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