Free movement damped and not dampedphysicsleninac@hotmail.com
use DocumentTools in
restart:with(plots):
Do(%MathContainer0=NULL);
Do(%MathContainer1=NULL);
Do(%MathContainer9=NULL);
Do(%MathContainer5=NULL);
Do(%MathContainer4=NULL);
Do(%MathContainer6=NULL);
Do(%MathContainer2=NULL);
Do(%MathContainer3=NULL);
Do(%MathContainer7=NULL);
Do(%tpoeval=NULL);
Do(%posc=NULL);
Do(%velc=NULL);
Do(%acel=NULL);
Do(%Plot0=plots[display](plots[textplot]([0,0,""]),axes=none));
Do(%Plot1=plots[display](plots[textplot]([0,0,""]),axes=none));
Do(%Slider0(value)=0);
Do(%Slider1(value)=0);
Do(%Slider2(value)=0);
Do(%Slider3(value)=0);
Do(%Slider5(value)=0);
Do(%Slider6(value)=0);
Do(%Dial0(value)=0);
end use;
Vamos a modelar: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYyLUkjbWlHRiQ2J1EibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJm1mcmFjR0YkNiktSSVtc3VwR0YkNiUtRiw2J1EjZHhGJ0YvRjJGNUY4LUYjNictSSNtbkdGJDYmUSIyRidGMkY1L0Y5USdub3JtYWxGJ0YvRjJGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GIzYnLUY/NiUtRiw2J1EjZHRGJ0YvRjJGNUY4RkRGTEYvRjJGNUY4LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zlbi8lKWJldmVsbGVkR0Y3RjItSSNtb0dGJDYvUSIrRidGMkY1RkovJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZecC1GLDYnUScmIzk0NjtGJy9GMEY3RjJGNUZKLUY8NiktRltvNi9RMCZEaWZmZXJlbnRpYWxEO0YnRjJGNUZKL0Zfb1EmdW5zZXRGJy9GYW9GW3EvRmNvRltxL0Zlb0ZbcS9GZ29GW3EvRmlvRltxL0ZbcEZbcS9GXXBRJjAuMGVtRicvRmBwRmNxLUYjNihGZ3AtRltvNi9RIn5GJ0YyRjVGSkZeb0Zgb0Zib0Zkb0Zmb0Zob0Zqb0ZicUZkcS1GLDYnUSJ0RidGL0YyRjVGOEYyRjVGSkZWRllGZm5GaG5GMkZncS1GLDYnUSJ4RidGL0YyRjVGOEZqbi1GLDYnUSJrRidGL0YyRjVGOC1GW282L1EnJnNkb3Q7RidGMkY1RkpGXm9GYG9GYm9GZG9GZm9GaG9Gam9GYnFGZHFGXXItRltvNi9RIj1GJ0YyRjVGSkZeb0Zgb0Zib0Zkb0Zmb0Zob0Zqby9GXXBRLDAuMjc3Nzc3OGVtRicvRmBwRmpyLUZHNiZGTkYyRjVGSkYyRjVGSg== donde m=masa, \316\262 = coeficiente de amortiguamiento y k=constante del resorte el cual se muestra en el siguiente gr\303\241fico: con las condiciones iniciales: 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 y -I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibGF'6*-I#miGF$6'Q"xF'/%'italicGQ%trueF'/%+foregroundGQ.[255,255,255]F'/%+executableGQ&falseF'/%,mathvariantGQ'italicF'-I#moGF$6/Q(&prime;F'F2F5/F9Q'normalF'/%&fenceGF7/%*separatorGF7/%)stretchyGF7/%*symmetricGF7/%(largeopGF7/%.movablelimitsGF7/%'accentGF7/%'lspaceGQ,0.1111111emF'/%'rspaceGQ&0.0emF'-I(mfencedGF$6&-F#6&-F,6'Q"tF'F/F2F5F8F2F5F?F2F5F?-F<6/Q"=F'F2F5F?FAFCFEFGFIFKFM/FPQ,0.2777778emF'/FSF[o-I%msubGF$6%F+-F#6'-I#mnGF$6&Q"1F'F2F5F?F/F2F5F8/%/subscriptshiftGQ"0F'F2F5F?%!GMFNWtKUb<ob<R=MDLCdNrtbXKb;bQ[Cca;CrV?TLcD<KB<KBYKBSK>MBVKTPa]GvTpZ;NbbVmr[S^h??enWdiofnwh[Oh_sWiuWWSTWuTauR=EVEeEYeVIu`WIIoZLFfC_b;_dr_mgius?dMvvyyZjyhZ^]K_adPZoA]xPeKF\\JFp:P^<AeNob`OaoamPY[dflpXnMgm\\XvnPnOwbVHbEhwRqtPYl]fnO^aDp\\gIn<@dnnll?kAfbjs\\KFaOBKWR[stiyCA_yBCSZCb^uHEseQaSaGshYhuweZmIsmewmxSyVsEysIyDSWeUWB[B<;C>KBRUUUUv\\irE?CCCC;CF>aXjiFLCC^OTcKUTMU:<YvlMDMSD=UHTkJLtWHm`hjDdj<Hwr<K[dqjTJNUlMEnJ=RhtlmpLJDN>UPdHUCDvBLSPMRrLRS`oWULNPm;ajRpMdHUC:FeqqmZ?jTHr>@m\\fkoV_[^rnAdlP\\<I\\TvZ??\\<_cIftf`jj_Z_V_[^][HhJ_Z[^rnUmOD<IDN_g>N_CQcGGf<_cQftf`JZ[otwHwEgc[OBaRoSG[:=gGgC`[bRoFdGUCCvBKSPMRrKb@qBMKrK[TmO<_?orCStBCF`wbdmT<=Q_TO[\\M;UL`HL<ILNUpL:fk=P^bH_F?kcInThlJnkZ`f_^j]>gJ_Z[^];g`eF>=tGyv>?X>OUGQSCWSBGW\\oVjCFVCRqseMKrK[TmJSKt=PODNVDRoTO[b^eF>Wn=HoBDvBLoSEkKaLN\\LZhpoh\\ZirEx\\b>_b>fsN^hWn^g^@WlR@mBhkUv`<bGSEp;vFIem[GA]rg]YZiTMydAYvkgEECEZMF]SF[Yv]YbGSEpDUSEM\\Qv\\AuHDkMAyfuJ:mJhTKETK>eR?ENb<OBLNK@K`qv`aWA`rc]tFlNdLmUXmkyrYtYR\\VYMXs`MuqxgYrthXeApmuvH=s_QX=`wq`of`KCESCmJSyLQ@tRAV\\PvCYla<uthXeHRpiLWdMGHKMlN:=ONLVnAwKAkHpkp<sxUTMUTkmyvIY=`wEXSbpfFPb\\Fl:GnJ?vuywyx:sRIoE?_Uhsb>MFk;sxyRIoEg=dwAXCcemOD]?hj?h:]R>]bliiWgeWkXfAu[=hwytPqtT[WY]U;UXjCDHMhpoh`UI>krKesD]TBefL]hn_hZytYuY_UINcghquwWIbSGPKSPeIOitOIFeSGESt`gS=WdMWDUIvR[e>MF;?UfkbJ=G^UINcgDYsEyB_iVZch;ED=GxQSSQuTioU?Ix]yrkWWQqGVSIp]C_eV_=ImmvFAbdMdC[B<[cYsIXafemt]urHGv`isU_WAGrrKgSexjgYuqXVcIt]DXkEX;XmUX=AwKYfK_eV_coWWQQhWKuZWV_eV?qXB[c]WSqKYbGgcGrjIv=IJraYx\\Wf]WFlXcLjbynhpoHhwJ<Ma`oSEWv=phqOV=q:XYqqw[Mv>IkReqtePUIvR\\lsHqsPxADsNEUSEU[Mr>HKfuj;AQdmJqIRAuRA\\sFasJqtPqj@pZRVap__UI^S^sNH_M?lMXl=qhRfatAv=x[j`fCQ\\pXrZ_]_VgY^oVGqLBv;YjABEudhcRpmXpSsKCEHeV_eFDUSEEuHSfQuXhau;wbAwBUIVnQsKItKAVg?BxuxX?VdMCeqGb;GBCSCESJSc?AEkKV>Su[AE>eV_eFlSHmCuHSfQMTc_dMCXTUUUUEfCUcWbcwE@ycYsCs_UHOgdOGpWRS[XTQuTAuHCbk]dfOYLSc?QsQIysIyjWhmWrNGGM=UF?WjMWb=WZUI>kj;ELtMkHpk@XpmXPf\\Of<XlavC]r@qr<xsaXTymnG]mrDlgALRtRYQPwdWYqqWtyuyuyATKET;hWUqp[=ujHVfujn<OwTYpakKXu^ar\\EP^LLCljHdMDPxlQXFdMt\\TsmKTETKEJS`S@HSMpN;asFAyG`TH]NeySydy>`v^aV@uksMwNIOFdMtNslplPp\\RXmUXrXquXnxpqxFpr=_dw`isQlKXvvYyiyqbN_dNbUWeUnbF@];xrIx]=isGi[ghog@gcGg;wbAwZr_aXn`gOu^_xR_`HNkjfp`@xFH]m>f[Gf;AukQr<QrNqb`Fk?Qfnv`qVo_>`[wrrIx]I]undoghonaxAy]?uUYu]@nZ@ZCIsCA[B>[:aqsWxJItKIjbAwb_tNatZixQyeqNgV^mbHeWiuWIvhqwHAukq`f?uZppf_rBH\\`vx]n`RhtPqtlnttH]sNh^PxRgm=>fV_eVKEUSE=uRAuZpqxpubIsDeq;ajnQneUWdXpoIW]UV]ppFAubIOl]jM@mfYPjdl;PRNUpLlSd`of`Vu\\J@ITlPLHMMl\\VBTu[<PHxlSHmc@wXesYhQumX:iSUHxGyPYAwVmTZ<LZ\\Pn\\XJmuZaW_eVo<OMDrRmLgLU>tMYtM=`wEUVi=PIxrU\\l]\\RtDxr]Qr<Qr<RZ<LjhMDTvTYuUIMupjSyM_iv_YjhYQdHPSesGisKlMXlsn]O`TrLQtLTMqlW>AsKXNSqK?HXyaymyKh`UsPrp=MwPMFXlvUm;\\tE\\SrxVZdSLuneLwZMNV`x^IsMlp==VVtN@=PKLtcXXZdquXqu\\r\\EPXdQt]rp=SFHnCTtBtVBaVl\\kSTP@Tx`isMmOudYtaPdLOdlJ?uy<dP=HKa<xr]Q>hj?HntPqTDocHo:vlive@hmWh]vayvAeHpkSn^yvZM@c^NrQwewgrbI`UWeUG]wn]ciuRH`]?fcGgC@tJAdBfj<_]r>HwhqwH`ysYwcaysYWFysIYkdPodfubc]T`sYHQwZAv:gTeoTkKYFiTeoTKigjmF`WwGiupmXp=YjAv;OxCMw`mV`Ub\\Qc@sFLgt;Ir;gwj;CEqexcYDCgNMcesTh?rTQuTSyqywA?Tb[RdMWdkRGOEo;G@UecgUaev<yGNieusXJ=TJ=teEin_hnce`Er]GuCcSY_S`SRv]Yv[ggggk?V;QZ[Hn[@_gf_?ikUv`RokHDaSIRoXfAu;_hn_hXUsCcb<]utgXewrlcggggRYhauc[OR]kR^sdEIxnIwM]V_eV[sGisCSCES;hn_hV[H]EessdfwHh]u:MUTMUiGsTqtPqbN_dN[V_eVoAUhawSYhBAsBAH^=c>ASr]IX[r\\EHDKCD;XcQt_[dN_d:mFMGhWkD]]dCQs?ovi;B>]R>=vZIr=?DC_RbAwbAtTmw\\irE?HmSH=yuyuyWYvxQV]UVkAx[YRncHoCEt[T\\]RFms;aVd;IOUhxqxUyWJSc?AuvGYm[eWgeu]goSdLOdjirQsUnAU`Ir=wBr=yjIF`esTgbvayvUV>_SF_fpohPgwJ;mmDsd@Tb<pmuvH]R?eR;asFaK;Hj;PsEXvWiPplP\\QyoYwRAqkUN>LJ;LsDQsnllEXkEXruywyxKYtMYpUIiWCDVUtV`AVDMSDMjGhkGlusuvW<JbIPSUlMXlk@WKQNRAuRArQytQUVM=Uddl\\DN[DJeytixjaxnadNetrFlrsUmGmytT_J@c^>uwXiqNv]YvOXsvgiwGdV_eFpn`p^oHh[HkCHkDYykWaMh`^^^>gnFywyxyHvbAwbrFasFb`Vl[N`lNtry]^?lb?gb?bKGdKNweYwkAykYfnxpqXr;Ir;nppppR`asOp;ooUxdPodT^vcagivex`jNO_OGmg@tNGgFodc`dD@tJAd@XbKqopppPVdapc?xqyxqlGm?hj?^ywiyKpmXpk_YsQX_QxdOgd[quwXiBN[DNZjQ_SWf\\OfNqxSV]UVkj@pjBjcXdaTNqtPQgwKikcHocDaoSWOHPyrlCS=ybIswQicWyhiuu@MYtMIPugXecJ?dJ;YsEY[=ujGVBYsEYRHmSHKV\\MVZav^ab:?b:oYwSFbwIQWWDQsDATV]UFOgdOGNytQYbIyvesw`IerCX\\kVFAeKyvwUEMsiuAYZqsqyWwgxPSYKEWJixHUcHeeGEvhGstmvFIEfSUp_SskSNiuWiEyiyqyETWeUgdIifcoghobB]F<MTLMLipjeHYr=YZtQytM;DJ;LsweR?eR;ysIyKMxNImP`yRmDOIymynr@qbwxpMXs_AqrGx\\NmTPmJHlKHZIwcIgloY\\`^c:Qt_XckhfEq\\>`j>@bb^\\\\gvDilwoiP?tbHd]`xXqbdfl\\V^]VZ_gf_?uwXIGUmoV[MynIwZYxsAGhkG@mWhmGH[Er;bLOdL[iwqxUqFqcgIotceUFEg`et`;Hj;DAwCYkTSmdR?eBwGy_yLEyXwsaYvGyHY`mV`M_AsQ`j>`Jf@UkPR_]yixlQxLheuthnFmtLPlL\\lPpl\\dOgdK`qv`AlDenJDk>=mwTYpHswYNTLTYunoEsGis?PR[@rwXYqQYF=RUUUU]Ux`YSTmpdW<itexTkPV?QkxdrcxwV\\Sg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m= use DocumentTools in
Do(%MathContainer0=%Slider0);
end use;
\316\262 = use DocumentTools in
Do(%MathContainer9=%Slider5);
end use;
k= use DocumentTools in
Do(%MathContainer1=%Slider1);
end use;
use DocumentTools in
Do(%MathContainer2=%Slider0*diff(x(t),t$2)+%Slider5*diff(x(t),t)+%Slider1*x(t));
end use;
use DocumentTools in
Do(%MathContainer3=dsolve(%MathContainer2,x(t)));
end use;
= Ingresando las condiciones iniciales: t = use DocumentTools in
Do(%MathContainer4=%Dial0);
end use;
X0 = use DocumentTools in
Do(%MathContainer5=%Slider2);
end use;
X1 = use DocumentTools in
Do(%MathContainer6=%Slider3);
end use;
use DocumentTools in
Do(%MathContainer7=evalf(dsolve({%MathContainer2,x(%Dial0)=%Slider2,D(x)(%Dial0)=%Slider3},x(t))),5);
sol:=Do(evalf(dsolve({%MathContainer2,x(%Dial0)=%Slider2,D(x)(%Dial0)=%Slider3},x(t),type=numeric)),5);
with(plots):
Do(%Plot0=odeplot(sol,t=0..%Slider4,gridlines=true));
end use;
= 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t = use DocumentTools in
Do(%MathContainer8=%Slider4);
end use;
use DocumentTools in
xt:=Do(rhs(%MathContainer7));
Do(%posc=evalf(eval(xt,t=%Slider6)),5);
veloc:=Do(diff(xt,t));
Do(%velc=evalf(eval(veloc,t=%Slider6)),5);
aceler:=Do(diff(xt,t$2));
Do(%acel=evalf(eval(aceler,t=%Slider6)),5);
g1:=plot(xt,t=0..2*Pi,color=red,legend="Posici\303\263n",labels = ["tiempo (s)", "x(m), x'(m/s), x''(m/s^2)"],labeldirections=["horizontal","vertical"]):
g2:=plot(veloc,t=0..2*Pi,color=green,legend="Velocidad"):
g3:=plot(aceler,t=0..2*Pi,color=blue,legend="Aceleraci\303\263n"):
Do(%Plot1=display([g1,g2,g3],gridlines=true,title="Desplazamiento-Velocidad-Aceleraci\303\263n vs Tiempo"));
end use;
evaluado en t = use DocumentTools in
Do(%tpoeval=%Slider6);
end use;
s posici\303\263n = m velocidad = m/s y aceleraci\303\263n = m/s^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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=