471f3fad-1df5-414b-9219-2f3781353897 19 15 12 decimal

&[DATE] &[TIME] - &[FILENAME]

r a 2^b 2^+ 2 / (12 /^:

V 17 :

a 50 :

b 100 :

ω V r / : 0.215

t 0 (8 (0.1 range :

n t length :

n 81

k 1 n range x k el 5050 ω t k el * π 2 / + sin * - (: y k el 100 ω t k el * sin * : 21 line for

t Clear 1

t x 501 ω t * π 2 / + sin - (* : t y 100 ω t * sin * : 21 sys

t x 501 ω t * π 2 / + sin - (* :

t y 100 ω t * sin * :

t c t x t diff t y t 2 diff * (t y t diff t x t 2 diff * (- (abs t x t diff (2^t y t diff (2^+ (32 /^/ :

x c

t R.c 1 t c / :

m 189 kg * :

x R.c

t α b.G t R.c / atan :

h.G 0.53 m * :

I.xG 6.73 kg * m 2^* :

b.G 0.703 m * :

I.zG 36.4 kg * m 2^* :

p 1.42 :

t x' t x t diff :

t x' t x t diff : t y' t y t diff : t m t y' t x' / : t Δ p t R.c / atan : t F.sf b.G p t Δ cos * / m * V 2^t R.c / * : 51 sys

t y' t y t diff :

t m t y' t x' / :

t Δ π 2 / t m atan - (:

t F.sf b.G p t Δ cos * / m * V 2^t R.c / * :

x x' x y' 2 1 sys x m x Δ x F.sf

I.xG m h.G 2^* + 59.8201 kg * m 2^*

m 189 kg *

Y2 I.xG m h.G 2^* + (: 59.8201 kg * m 2^*

I.xG m h.G * + (t φ t 2 diff * m 9.8 * h.G * t φ sin * + m V 2^* h.G * t R.c / t φ cos * - 0 ≡

This is a 2nd order DE
but undefined wrt  φ(t) t φ'' Y2 * m V 2^* h.G t R.c / * t φ cos * m 9.8 * h.G * t φ sin * - ≡

t t 2 diff Y2 *

t φ'

m V 2 ^ * h.G x R.c / *

I.xG m h.G 2^* + 59.8201 kg * m 2^*

m V 2^* h.G * 28949.13 kg * m *

p I.xG m h.G 2^* + 59.82 ≡ m V 2^* h.G * 28949 ≡ m 9.8 * h.G * 981.7 ≡ 31 sys :

m 9.8 * h.G * 981.666 kg * m *

1 x R.c /

10 R.c / 0.005000000000000

p I.xG m h.G 2^* + 59.82 ≡ m V 2^* h.G * 28949 ≡ m 9.8 * h.G * 981.7 ≡ 31 sys :

x Y t Clear 1

ε 104 -^:

unknown 2nd order DE t φ'' p 1 el * p 2 el 1 t R.c / * t φ' cos * - p 3 el t φ' sin * + 0 ≡

t Y p D 1 Y 1 el (* Y 2 el p 1 el * Y 1 el p 3 el * + 1 t R.c / Y 1 el * p 2 el * - 21 mat :

typical from unknown
... from user ... IC 0.005 021 mat :

speculative
parameters
deomo produce sol IC 03 π * 100 t Y 0.1 29131 mat D dn_GearsBDF :

declared freak
sends solver in
the "zillion" domain p 59.8201 kg * m 2^* 28949.13 kg * m * 981.666 kg * m * 31 sys ≡

X sol 1 col : (discretised variable of integration ≡ soldemo_1 X sol 2 col augment : (function ≡ soldemo_2 X 1 sol 3 col (* augment : (1rst derivative ≡ 31 line

sol 0 0.005 0 0.09425 0.00549 0.00042 0.1885 0.00604 0.0009 0.28274 0.00663 0.00142 0.37699 0.00729 0.00199 0.47124 0.00801 0.00263 0.56549 0.0088 0.00333 0.65973 0.00967 0.00411 0.75398 0.01063 0.00497 0.84823 0.01168 0.00591 0.94248 0.01283 0.00695 1.03673 0.0141 0.0081 123 mat

soldemo_1 soldemo_2 2 1 sys

p 2 el Y 1 el *

Y 2 el p 1 el * Y 1 el p 3 el * + 1 t R.c / Y 1 el * p 2 el * -

soldemo_1 1 row soldemo_1 soldemo_1 rows row soldemo_2 1 row 31 mat 0 0.005 12 mat 9.425 62.004 12 mat 0012 mat 31 mat

NOT a DE: φ(t) undefined

t φ t 2 diff p 1 el * t φ sin p 3 el * + 1 t R.c / t φ cos * p 2 el * -

10 R.c / 0.005

t Y p D Y 1 el Y 2 el p 1 el * Y 1 el t sin * p 3 el * + 1 t R.c / Y 1 el t cos * * p 2 el * - 21 mat :

typical from unknown
... from user ... IC 0.005 121 mat :

speculative
parameters
deomo produce sol IC 04 π * 100 t Y 0.06 29231 mat D dn_GearsBDF :

sol 0 0.005 1 0.126 0.006 1.008 0.251 0.006 1.015 0.377 0.007 1.023 0.503 0.008 1.032 0.628 0.009 1.041 0.754 0.011 1.05 0.88 0.012 1.06 1.005 0.014 1.071 1.131 0.016 1.082 1.257 0.018 1.094 1.382 0.02 1.106 1.508 0.023 1.12 1.634 0.026 1.135 1.759 0.029 1.15 1.885 0.033 1.166 2.011 0.037 1.184 2.136 0.042 1.202 2.262 0.048 1.221 2.388 0.054 1.24 2.513 0.062 1.26 2.639 0.07 1.28 2.765 0.079 1.3 233 mat

X sol 1 col : (discretised variable of integration ≡ soldemo_1 X sol 2 col augment : (function ≡ soldemo_2 X 1 sol 3 col (* augment : (1rst derivative ≡ 31 line

soldemo_1 soldemo_2 2 1 sys

t Y p D p 1 el Y 1 el (* Y 2 el p 1 el * 1 t R.c / p 2 el * Y 1 el * - p 3 el Y 1 el * + 21 mat :