STL2STM2BookC_StringPrint_SetupTPrintStartupSound_TabLISTBook_PrefsAct List Scene Drawing_Model Draw_Specs diagram_struct_arrayDependentsScriptPad_ListManuscriptPlayPlay_PrefsModelSubscript_Set_ListSubscript_SetArraySimulation_ModelRun_Specsentity_struct_arrayentity_structint16_arraydouble_arraytoken_type_arraytoken_type run_handle_array!Draw_Index"Poster_Info#diagram_struct$Point_array%movie_attach&Picture_Tab'Picture_Data(Picture)AliasRecord*Pathname+Pad,Model_Index_array-slider_type.Model_Index/Log_Condn0Log_Page1Play_Where2Button_Type3Condition4Movie_Tab5graph_type6curve_type_array7curve_type8Panel9Sector_Specs:SET;Sense_Setup<select_struct_array=allow_struct_array>allow_struct?Picture_array@Entity_Controller_MapASection_ListBFont_MapCFont_Map_Record_ArrayDFont_Map_RecordEWindow_ListFModel_WindowGPad_WindowH@@3(efDefnef|ef^fVini6efxxHH@RHH@d'e$Y ( `d>> ,, efef`ef     |efdf    JJ  drmd   P@@ ef^f^f^flMfPMf@JfPP???2  V^f_f ^f^fXfBTf*SfpSf_f i[frl(1 Dim_Name_1 rjj@$?PTime (sec)Ho~*s@`Z1@11?LQ =Kwb?O?QsO ]q@`Z1@ @ ?????$ Velocity0 !" #s?(@I& =p@11?(@I& =p??qH5?(@I& =pa+a+????! =p?$ Position-1.5+Weight/Spring_Constant    - ?      !" #b@`Z1??LQ =Kwb?O?QsO ]q@`Z1@Л@ ????@Л$Change_in_Position Velocity !" #b @==(=@11@BR@ŭ@==(=@6^h@6,O,C????@6^h@=$ AccelerationNet_Force/Mass     !" #c @MM(=?@#BR$@$ŭ$@MM(=@F,`RI@F,O,C????@F^h@M?$ Net_ForceRestoring_Force+Weight      !" #c )@X;dZ@Xj:@<333333@6@6w~I@<333333@X;dZ@Xj:@X/n@Xj:????@X(0@X;dZ? Total_Energy*Gravitational_PE+Kinetic_Energy+Spring_PE       !" #c@@@@?@@@@@@????@!@? $Mass2   !" #c @S$S@3Ƨ@<333333@3Fl) @<333333@S$S@3Ƨ@;wS|@;wdA????@:쟽A,@3Ƨ?Gravitational_PE9.8*Mass*Height   @#     !" #c @F޽,@<333333@E]l@<333333@F޽,@4jS[@4j3=????@3+I]?Kinetic_Energy.5*Mass*(Velocity)^2$  ?       !" #c  @Shr?&BB@<333333@6@zQ@<333333@Shr?&BB@I< @IX????@Js&b@Shr?  Spring_PE .5*Spring_Constant*(Position)^2 $  ?       !" #c  33?@4@4@3@33333????33?$ Weight -9.8*Mass  - @#    !" #c @D@D?@I@$@4@4@D@D@D@D????@D!@D? $ Spring_Constant35    #!" #c@SfffffD32P[p?$s'>"g+mm!>@SfffffD32P[p@O-k@Od????@PCZ蕚@Sfffff?$ Restoring_Force-Spring_Constant*Position      !" #s@ =bI?(\)?@ఝɇ?zG@ =bI?(\)?k%?k%????(\)? Height1.5+Weight/Spring_Constant   ?     !" #g$??????Motion!" #c %?=f?=f???L?=f?=f?=f?=f????=e!?=f?$ Frequency 1/Period     !" #c# ?zm ?zm ???j*Bm?j*Bm?zm ?zm ?zm ?zm ????zm ?zm ?$Period 2*PI*SQRT(Mass/Spring_Constant) (          !" #b @`Z1??@`Z1@Л@ ???@ЛChange_in_heightChange_in_Position  !" #  U%   %$aP J$ h,u%&Motion'VUf: )lP`WPWY*(;3zUf)zzz;3 3;  :2 "ff1' 7#8  ."##P #P #P #P #P  #P  #P #P #P   :2#"$#"ff331/#8*+,- $ t <@ 6J &>R%&'&Modified from MVHS CoreModels Program,- $RaF@YjU%&',.hh ^f?/012" " - $RJF@LBSU%&',.^f?/012" " - $ t@7 9?%&'9Motion of a Freely Oscillating Mass on a Vertical Spring,- $Jxce@> Vїc %&',.@$@I@D@DK^f ?/ 012" " - $JNce@>V9d%&',.?@@@^f?/012" " - $NyD" *%&',3TT AVfn n 425Run/- $NyD$ ,%&',3AVfn n 425Clear/- $ D@ %&' Graph 3,v- $ t-$@-$Wi  %_q%&' Frequency,- $ t,@U z]%&'zIf you move down the page, a second stacked graph shows frequency against mass and frequency against the spring constant.,- $ t,@I iQ%&'iTo use this plot, run the model while varying the mass (blue graph)or the spring constant (green graph).,- $$$$$$$$$$$$$$$$$$$$$$$$ D $%&'Graph 2,n- drmd  PA/.   /$ s n}!%&',- $ sKq *\-%&',- $ dC $qy} :L%&',- $ bRL ' `%BB&'%rra,- $ d $~ %&',- $ bI. r %~&'%,- $ cDk Q%&',- $ cltx &%&',- $ cc  &%&',- $ c#-^ib |,%&',- $ cp]a )%&',- $ cZ ae !g(-%&',- $ c o  w%&',- $ c   '*%&',- $ c  %&',- $ sEJ @Nr$V,%&',- $ a$VY  bbxx**TQ%&',- $ a$5( 99DD||U%&',- $ c@@2-28xj"%&',- $ dF/ @2-28=&O8%&',- $ a\$'f R7V<<UUP%&',- $ a $An ##==))%&',- $ a %; ,,y %&',- $ a %IkoddU%&',- $ a9 %/ttTTvv%&',- $ c| ^%&',- $ a$ 3o||XX==%&',- $ a{ $P NeeK%&',- $ a{$2 AAJ %&',- $ a@$( <x55Im%&',- $ a% SS%%%&',- $ a%  8833s~%&',- $ bWc@ =S ?/vWc"%G7G&'%G7G,- $ sE!$V)%&',- $ asX% e@2"S7~]%&',- $ cw@# j&*.%&',- $ g@A$I%&Motion',- $ c>@%1\.%&',- $ a$#)\@ *;&x%&',- $ c(  '^(%&',- $ ab'% B9!!(&&%U%&',- $ ad!% LE@ )P%&',- $ a $#.@ *;*x%&',- $$ a% S@; ,O%&',- $ a&$ 3@ 2-HV%&',- $ a<#$%E@ .Es%&',- drmd32 ,66l֔i$FfFfVifSXf$*Sf 6ZZ TSfSfSf@$I@$,nComparing Positions78B^f@Ips@/"$ l,"lniBfBfVifSbXf *Sf 6SfLfLf@$I@$,v7 8^fB /8^f@fUUUUV?333333j/6SfLf`Lf@$I@$,v7 8^f QR@I/ 8^f@fUUUUV?333333/" l*+ DC B^fMfLNfNfOflIf  zMfMf     drmd P 9 zMfhNf  9   drmd   zMfOf      drmd  zMfOfOf :l;T lIfIfIfF L(=>??? @)  , Geneva.+ $Setup #1($10/3/97 2:34 PM(?Input Variables(URun #)iSpring K(k1)_30.0({2)_35.0(3)_40.00 **  A/" A/ "  Bx2C D( EArialEArialE Courier NewEArialE Courier NewBF  G <{G<H ,nH ,v