.MCAD 306000000 Z  docDocument<mcObjectI d2_graph_format graphData axisFormatLLtrace2D      dim_formatCmasslengthtimecharge temperature luminosity substanceNumericalFormat@dii shpRectESmcDocumentObjectStateJ mcPageModel:????mcHeaderFooter99 ComputeEngine=BuiltInsBC SerialAnyvalH@D@H @E@HF@HMbP?@H units_classA TextState0 TextStyle/@ArialNormalfont_style_list> font_style?  VariablesTimes New Roman? ConstantsTimes New Roman?TextArial? Greek VariablesSymbol? User^1Arial? User^2 Courier New? User^3System? User^4Script? User^5Roman? User^6Modern? User^7Times New Roman? SymbolsSymbol? Current Selection FontArial? Undefined Font? HeaderArial? FooterArial? Rotated Math FontTimes New Roman TextRegion docRegion7shpBoxD0D0 x<< CharacterMapRangeMap,/UNIVERSITY PHYSICS I, PHY241/243 Computer Lab#2 ChrPropMap(/ RangeElem-/  ChrPropData) RangeData.lArial0,0,128 ParPropMap*/ -/  ParPropData+EmbedMap" -LinkMap / -/LinkData!@NormalArial@D_/pv1''AlUsing Mathcad we write a program to study uniform circular motion. Consider a point-like object moving with constant speed v around a circle of radius R. We want to graph the components of the position vector x and y versus time, the components of the velocity vector vx and vy versus time, and the components of the acceleration vector ax and ay versus time.(_l-)0,0,128-)_0,0,128-)0,0,128-)_0,0,128-=)0,0,128-)_0,0,128-)0,0,128-)_0,0,128 - !)0,0,128 *l"-l#+"$- l%-l&!@NormalArial'eqRegion3@D H2(tree1 p)1 (*1d)T+1)1,3@D-1 p.1 -/1d.R01.113@D@21 p31 241d3t51361 @571t60816.01915T:3@D \K48;1 p<1 ;=1d<\w>1@@1t?2@A1?\p@B1>T@C3@D(-= 8@D1 p@E1 @D@F1@@E@G1d@F\q@H1p@F@I1@Ht@J1@E@K1d@J\w@L1@Jt@M3@D XmCh@N1 p@O1 @N@P1@@O@Q1d@Px@R1p@P@S1@Rt@T1@O@U1d@TR@V1@T@W1d@Vcos@X1p@V@Y1@X@Z1d@Y\q@[1p@Y@\1@[t@]3@DXam h@^1 p@_1 @^@`1@@_@a1d@`y@b1p@`@c1@bt@d1@_@e1d@dR@f1@d@g1d@fsin@h1p@f@i1@h@j1d@i\q@k1p@i@l1@kt@m3@D N@n1 p@o1 @n@p1@@o@q1d@pv.x@r1p@p@s1@rt@t1@o@u1@@t@v1K@@u@w1@vR@x1@u\w@y1@t@z1d@ysin@{1p@y@|1@{@}1d@|\q@~1p@|@1@~t@3@D@1 p@1 @@1@@@1d@v.y@1p@@1@t@1@@1@@@1d@R@1@\w@1@@1d@cos@1p@@1@@1d@\q@1p@@1@t@3@D N@1 p@1 @@1@@@1d@a.x@1p@@1@t@1@@1@@@1K@@@1@R@1@@1d@\w@1@2@1@@1d@cos@1p@@1@@1d@\q@1p@@1@t@3@D@1 p@1 @@1@@@1d@a.y@1p@@1@t@1@@1@@@1K@@@1@R@1@@1d@\w@1@2@1@@1d@sin@1p@@1@@1d@\q@1p@@1@t@@D+(@copyright @ Miron Kaufman, 1998(@-@)@n Arial0,0,128*@-@+"@- @-@!@NormalArial@3@D?Ce@@1 p@1@@1@@@1@@@1@@@1f@1@1K@@1@1@1@@1d@ _n_u_l_l_@1@ _n_u_l_l_@1 @@1@@@1d@x@1p@@1@t@1@@1d@y@1p@@1@t@1@@1@@@1@@@1t@1@1@0@1@@1d@ _n_u_l_l_@1@ _n_u_l_l_@1@t@< LL     @3@DgCuh@1 p@1@@1@@@1@@@1@@@1f@ 6.283185@1K@@1@ 6.283185@1@@1d@ _n_u_l_l_@1@ _n_u_l_l_@1 @@1@@@1d@v.x@1p@@1@t@1@@1d@v.y@1p@@1@t@1@@1@@@1@@@1t@1@1@0@1@@1d@ _n_u_l_l_@1@ _n_u_l_l_A1@tA9 LL     A3@DJe_A1 pA1AA1@AA1@AA1@AA1fA 39.478418A 1KAA 1A 39.478418A 1AA 1dA _n_u_l_l_A 1A _n_u_l_l_A1 AA1@AA1dAa.xA1pAA1AtA1AA1dAa.yA1pAA1AtA1AA1@AA1@AA1tA1A1A0A1AA1dA _n_u_l_l_A1A _n_u_l_l_A1AtA 9 LL     A!@D8Xs000BaWe are next using animation to visualize the uniform circular motion. Use the Animation option of MathCad 6 to create a movie (*.mov file) to visualise the molecular motion. First set the FRAME constant: t := FRAME*T/20. Then select the graph. Click on VIEW and then on ANIMATE. Give the upper bound for the FRAME, by choosing TO: 20. That means that your movie will have 20+1 = 21 frames. Then select the graph again and ANIMATE. Click on SAVE AS. Give a name to the file. Then SAVE. For more information go to HELP ANIMATION. If you want to play your animation go to VIEW and then pick PLAYBACK. (aA"-aA#)A!nArial0,0,128*aA$-aA%+"A&- aA'-aA(!@NormalArialA)3@D@~MA*1 pA+1 A*A,1dA+tA-1A+A.1dA-FRAMEA/1A-A01dA/TA11A/20A23@D@hA31 pA41 A3A51@A4A61dA5XA71pA5A81A7tA91A4A:1dA9RA;1A9A<1dA;cosA=1pA;A>1A=A?1dA>\wA@1A>tAA3@DjAB1 pAC1 ABAD1@ACAE1dADYAF1pADAG1AFtAH1ACAI1dAHRAJ1AHAK1dAJsinAL1pAJAM1ALAN1dAM\wAO1AMtAP3@D@QAQ1 pAR1 AQAS1dAR\qAT1ARAU1 @ATAV1tAU0AW1AUAX1@AWAY1tAX2AZ1AX\pA[1AW50A\1ATA]1tA\2A^1A\\pA_3@D7M 8mA`1 pAa1A`Ab1@AaAc1@AbAd1@AcAe1tAd2Af1KAdAg1Af2Ah1AcAi1dAh _n_u_l_l_Aj1Ah _n_u_l_l_Ak1 AbAl1@AkAm1dAlYAn1pAlAo1AntAp1AkAq1dApRAr1ApAs1dArsinAt1pArAu1At\qAv1AaAw1@AvAx1@AwAy1tAx2Az1KAxA{1Az2A|1AwA}1dA| _n_u_l_l_A~1A| _n_u_l_l_A1 AvA1@AA1dAXA1pAA1AtA1AA1dARA1AA1dAcosA1pAA1A\qA1 LL     A@D  u0copyright @ Miron Kaufman, 1998(A-A)An Arial0,0,128*A-A+"A- A-A!@NormalArial