471f3fad-1df5-414b-9219-2f3781353897 18 4 5 false false 0 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 *

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

1 x R.c /

10 R.c / 0.005000000000000

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 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 :

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

speculative
parameters
deomo produce sol IC 0 6.187 100 t Y 0.833 1131 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 0.06187 0.00526 0.00032 0.12374 0.00554 0.00068 0.18561 0.00584 0.00108 0.24748 0.00614 0.00151 0.30935 0.00647 0.00199 0.37122 0.00681 0.00252 0.43309 0.00717 0.00309 0.49496 0.00755 0.00372 0.55683 0.00795 0.00441 0.6187 0.00837 0.00515 0.68057 0.00881 0.00597 123 mat

soldemo_1 soldemo_2 2 1 sys

soldemo_1 1 row soldemo_1 soldemo_1 rows row soldemo_2 1 row 31 mat 0 0.005 12 mat 6.187 0.866 12 mat 0012 mat 31 mat