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{"sheet":"Задача 3","index":2,"n_rows":27,"n_cols":6,"rows_kept":27,"merged":[[0,0,0,10],[19,0,21,1]],"flags":["formulas_cached_only"]}
["Колебания пружинного маятника."]
[]
["Расчетные формулы:"]
{"$rows_empty":10}
[""]
["Исходные данные:"]
["Масса тела",null,"m =",5,"кг"]
["Жесткость 1 пружины",null,"k1 =",50,"Н/м"]
["Жесткость 2 пружины",null,"k2 =",99,"Н/м"]
["Жесткость эквивал. пружины",null,"k =",149,"Н/м"]
["Временной интервал",null,"tmin =",0,"с"]
[null,null,"tmax =",10,"с"]
[null,null,"Dt =",0.02,"с"]
["Начальное смещение",null,"xo =",0.1,"м"]
["Начальная скорость",null,"vox =",0,"м/с"]
["Круговая частота",null,"wo =",6.308724118235001,"рад/с"]
["Период колебаний",null,"Т =",0.9959518263000919,"с"]
["Коэффициент трения",null,"f=",0.5,"кг/с","для случая, когда сила трения прямо пропорциоальна скорости тела"]

{"sheet":"Задача 4","index":3,"n_rows":27,"n_cols":5,"rows_kept":27,"merged":[[0,0,0,10],[19,0,21,1]],"flags":["formulas_cached_only"]}
["Колебания пружинного маятника."]
[]
["Расчетные формулы:"]
{"$rows_empty":11}
["Исходные данные:"]
["Масса тела",null,"m =",5,"кг"]
["Жесткость 1 пружины",null,"k1 =",50,"Н/м"]
["Жесткость 2 пружины",null,"k2 =",149,"Н/м"]
["Жесткость эквивал.  пружины",null,"k =",37.437185929648244,"Н/м"]
["Временной интервал",null,"tmin =",0,"с"]
[null,null,"tmax =",10,"с"]
[null,null,"Dt =",0.02,"с"]
["Начальное смещение",null,"xo =",0.1,"м"]
["Начальная скорость",null,"vox =",0,"м/с"]
["Круговая частота",null,"wo =",2.7363181806817805,"рад/с"]
["Период колебаний",null,"Т =",2.2962188211657715,"с"]
["Коэффициент трения",null,"f",0.5,"кг/с"]

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[]
[null,"Таблица данных:"]
[]
[null,null,"Параллельное соединение пружин",{"$nulls":3},"Последовательное соединение пружин"]
[null,"№№ п/п","Время, с","Скорость, м/с","Время, с","Координата, м","Координата, м","Скорость, м/с"]
[null,1,0,0,0,0.1,0.1,0]
[null,2,0.01,-0.0398,0.02,0.099204,0.09985025125628141,-0.007487437185929649]
[null,3,0.03,-0.118686784,0.04,0.09683026432,0.09940175301633798,-0.022424911997171792]
[null,4,0.05,-0.19552630083071998,0.06,0.0929197383033856,0.09865644602012198,-0.03726534981079992]
[null,5,0.07,-0.2690993599185535,0.08,0.08753775110501452,0.09761715606087333,-0.05196449796243277]
[null,6,0.09000000000000001,-0.33824121107830796,0.1,0.08077292688344836,0.09628758375183322,-0.06647861545200552]
[null,7,0.11000000000000001,-0.40185997845537624,0.12000000000000001,0.07273572731434085,0.09467229169336047,-0.08076460292363734]
[null,8,0.13,-0.4589538974406808,0.14,0.06355664936552723,0.09277668908408385,-0.09478013046383098]
[null,9,0.15,-0.5086270825407592,0.16,0.05338410771471204,0.09060701382729154,-0.10848376283961537]
[null,10,0.16999999999999998,-0.5501035781165884,0.18,0.04238203615238027,0.08817031219115821,-0.12183508180666623]
[null,11,0.18999999999999997,-0.58273947173765,0.19999999999999998,0.030727246717627273,0.08547441608861911,-0.134794805126955]
[null,12,0.20999999999999996,-0.606032881181406,0.21999999999999997,0.018606589093999155,0.08252791804969807,-0.14732490194605208]
[null,13,0.22999999999999995,-0.6196316603378664,0.23999999999999996,0.006213955887241827,0.07934014396586181,-0.15938870419181325]
[null,14,0.24999999999999994,-0.6233387059034352,0.25999999999999995,-0.006252818230826877,0.07592112369248641,-0.17095101366876975]
[null,15,0.26999999999999996,-0.6171147851798902,0.27999999999999997,-0.01859511393442468,0.07228155960176469,-0.18197820453608596]
[null,16,0.29,-0.6010788449177283,0.3,-0.030616690832779247,0.06843279318433672,-0.19243832087139864]
[null,17,0.31,-0.5755058013250006,0.32,-0.04212680685927926,0.06438676980357343,-0.20230116903816456]
[null,18,0.33,-0.5408218514623644,0.34,-0.05294324388852655,0.06015600171176799,-0.2115384045902716]
[null,19,0.35000000000000003,-0.49759738562417255,0.36000000000000004,-0.06289519160101001,0.05575352944247675,-0.22012361346456183]
[null,20,0.37000000000000005,-0.44653761833852024,0.38000000000000006,-0.07182594396778041,0.05119288169788633,-0.22803238722952118]
[null,21,0.39000000000000007,-0.38847109170349,0.4000000000000001,-0.07959536580185021,0.046488033854353225,-0.23524239217665516]
[null,22,0.4100000000000001,-0.32433623834181025,0.4200000000000001,-0.08608209056868642,0.04165336521315445,-0.24173343205993866]
[null,23,0.4300000000000001,-0.25516622177245224,0.4400000000000001,-0.09118541500413546,0.03670361512699164,-0.2474875043081404]
[null,24,0.4500000000000001,-0.1820722989856155,0.46000000000000013,-0.09482686098384777,0.03165383813589721,-0.25248884955472184]
[null,25,0.47000000000000014,-0.10622597304450145,0.48000000000000015,-0.09695138044473779,0.026519358248890512,-0.2567239943503347]
[null,26,0.49000000000000016,-0.028840222264401166,0.5000000000000001,-0.09752818489002582,0.02131572251001794,-0.2601817869436287]
[null,27,0.5100000000000001,0.048849893352588186,0.5200000000000001,-0.09655118702297406,0.016058653989276524,-0.26285342603707074]
[null,28,0.5300000000000001,0.12560693843617038,0.5400000000000001,-0.09403904825425066,0.010764004340362478,-0.2647324824457023]
[null,29,0.5500000000000002,0.20021080696968158,0.5600000000000002,-0.09003483211485704,0.005447706068199245,-0.2658149136081617]
[null,30,0.5700000000000002,0.2714781117191684,0.5800000000000002,-0.08460526988047366,0.00012572464978311774,-0.26609907092080637]
[null,31,0.5900000000000002,0.33828095032058714,0.6000000000000002,-0.07783965087406192,-0.005185989347963367,-0.2655856998873242]
[null,32,0.6100000000000002,0.39956475051569923,0.6200000000000002,-0.06984835586374794,-0.010471548009918449,-0.26427793309775405]
[null,33,0.6300000000000002,0.4543649122822112,0.6400000000000002,-0.060761057618103714,-0.015715173531364136,-0.2621812760722843]
[null,34,0.6500000000000002,0.5018219843216574,0.6600000000000003,-0.05072461793167057,-0.0209012452518941,-0.2593035860264983]
[null,35,0.6700000000000003,0.5411951362266239,0.6800000000000003,-0.03990071520713809,-0.0260143461246105,-0.2556550436358199]
[null,36,0.6900000000000003,0.5718737152590525,0.7000000000000003,-0.028463240901957038,-0.031039308482565045,-0.2512481178977272]
[null,37,0.7100000000000003,0.5933867075864923,0.7200000000000003,-0.016595506750227192,-0.03596125896678052,-0.24609752421077377]
[null,38,0.7300000000000003,0.6054099575445001,0.7400000000000003,-0.00448730759933719,-0.040765662482971275,-0.24022017580953786]
[null,39,0.7500000000000003,0.6077710344784835,0.7600000000000003,0.0076681130902324784,-0.04543836505725603,-0.23363512871423767]
[null,40,0.7700000000000004,0.6004516743897015,0.7800000000000004,0.019677146578026508,-0.04996563546471319,-0.22636352037285828]
[null,41,0.7900000000000004,0.583587762364813,0.8000000000000004,0.03134890182532277,-0.0543342055085566,-0.21842850219217058]
[null,42,0.8100000000000004,0.5574668609871265,0.8200000000000004,0.0424982390450653,-0.05853130883199524,-0.20985516617193203]
[null,43,0.8300000000000004,0.5225233289852803,0.8400000000000004,0.05294870562477091,-0.06254471814947107,-0.2006704658737919]
[null,44,0.8500000000000004,0.4793311126499921,0.8600000000000004,0.06253532787777075,-0.06636278078892963,-0.19090313197292752]
[null,45,0.8700000000000004,0.4285943294339866,0.8800000000000004,0.07110721446645048,-0.06997445244205297,-0.18058358265616709]
[null,46,0.8900000000000005,0.37113579805982405,0.9000000000000005,0.07852993042764696,-0.07336932902495819,-0.1697438291452609]
[null,47,0.9100000000000005,0.30788370184329744,0.9200000000000005,0.0846876044645129,-0.07653767655771831,-0.15841737663800678]
[null,48,0.9300000000000005,0.2398566012858586,0.9400000000000005,0.08948473649023007,-0.07947045897717976,-0.14663912097307244]
[null,49,0.9500000000000005,0.16814703783706375,0.9600000000000005,0.09284767724697135,-0.08215936380391084,-0.13444524133655364]
[null,50,0.9700000000000005,0.09390399267280043,0.9800000000000005,0.09472575710042735,-0.08459682559070136,-0.12187308933952604]
[null,51,0.9900000000000005,0.018314482035514668,1.0000000000000004,0.09509204674113765,-0.08677604708682253,-0.10896107480605854]
[null,52,1.0100000000000005,-0.05741541613450192,1.0200000000000005,0.09394373841844761,-0.08869101805922912,-0.09574854862032928]
[null,53,1.0300000000000005,-0.1320798010833172,1.0400000000000005,0.09130214239678126,-0.09033653171902103,-0.08227568298959602]
[null,54,1.0500000000000005,-0.20449214682898845,1.0600000000000005,0.0872122994602015,-0.091708198708757,-0.0685833494867986]
[null,55,1.0700000000000005,-0.2735041529056509,1.0800000000000005,0.08174221640208848,-0.09280245861360688,-0.05471299524249355]
[null,56,1.0900000000000005,-0.33802394885590203,1.1000000000000005,0.07498173742497044,-0.09361658896681936,-0.04070651766062422]
[null,57,1.1100000000000005,-0.3970333639484667,1.1200000000000006,0.06704107014600111,-0.0941487117275454,-0.02660613803630188]
[null,58,1.1300000000000006,-0.44960398905678667,1.1400000000000006,0.058048990364865376,-0.0943977972166715,-0.012454274456305392]
[null,59,1.1500000000000006,-0.4949117774091059,1.1600000000000006,0.04815075481668326,-0.09436366550395937,0.0017065856356062673]
[null,60,1.1700000000000006,-0.5322499546883676,1.1800000000000006,0.03750575572291591,-0.09404698524743468,0.0158340128262345]
[null,61,1.1900000000000006,-0.5610400363344319,1.2000000000000006,0.026284954996227274,-0.09344926999359655,0.02988576269190642]
[null,62,1.2100000000000006,-0.58084078043876,1.2200000000000006,0.014668139387452074,-0.0925728719546069,0.0438199019494833]
[null,63,1.2300000000000006,-0.5913549378302944,1.2400000000000007,0.0028410406308461873,-0.09142097328614272,0.057594933423208886]
[null,64,1.2500000000000007,-0.5924336962967873,1.2600000000000007,-0.00900763329508956,-0.08999757489703286,0.07116991945549339]
[null,65,1.2700000000000007,-0.5840787528013025,1.2800000000000007,-0.02068920835111561,-0.0883074828291302,0.08450460339513305]
[null,66,1.2900000000000007,-0.5664419854482119,1.3000000000000007,-0.03201804806007985,-0.08635629225307108,0.09755952880295625]
[null,67,1.3100000000000007,-0.5398227352214919,1.3200000000000007,-0.04281450276450969,-0.08415036913262221,0.11029615602244339]
[null,68,1.3300000000000007,-0.5046627455504993,1.3400000000000007,-0.052907757675519675,-0.08169682961719292,0.12267697577146454]
[null,69,1.3500000000000008,-0.4615388449496846,1.3600000000000008,-0.06213853457451337,-0.07900351722877516,0.1346656194208882]
[null,70,1.3700000000000008,-0.4111534937384726,1.3800000000000008,-0.07036160444928283,-0.07607897791604705,0.14622696563640572]
[null,71,1.3900000000000008,-0.3543233496093665,1.4000000000000008,-0.07744807144147016,-0.07293243305461794,0.15732724307145554]
[null,72,1.4100000000000008,-0.2919660380427375,1.4200000000000008,-0.08328739220232491,-0.06957375047838629,0.16793412881158204]
[null,73,1.4300000000000008,-0.2250853417736014,1.4400000000000008,-0.08778909903779694,-0.06601341363270853,0.1780168422838881]
[null,74,1.4500000000000008,-0.1547550482559678,1.4600000000000009,-0.0908842000029163,-0.062262488945520646,0.18754623435939424]
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