oberbek-J.mw

Rvt = 3.5 / 2;

Rvt = 1.750000000

;phi2 = 0;

phi2 = 0

> J0 := (m*g*r*(t2 - t1)^2) / ( h2/r - (h1/r) * (1 - (t2/t1 - 1)^2) ) - m*r^2;

J0 := m*g*r*(t2-t1)^2/(h2/r-h1*(1-(t2/t1-1)^2)/r)-m*r^2

> Jn1 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (39 + 39.5 + 39.5)/3,

           t1 = (5.1 + 4.91 + 5.03) /3,

           t2 = (9 + 8.78 + 8.62)/3,

 J0);

Jn1 := 186.6415495

> Jn2 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (30.5 + 29.5 + 29)/3,

           t1 = (5.88 + 5.91 + 5.69) /3,

           t2 = (10.56 + 10.56 + 10.29)/3,

 J0);

Jn2 := 197.8876201

>

> Jn3 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (24.5 + 23.5 + 21.5)/3,

           t1 = (7.53 + 7.19 + 7.15) /3,

           t2 = (13.59 + 13.16 + 13.41)/3,

 J0);

Jn3 := 273.9807535

> Jn4 := subs( r = 1.75, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (21.2 + 19.5 + 19.5)/3,

           t1 = (9.66 + 9.87 + 9) /3,

           t2 = (17.59 + 17.78 + 16.91)/3,

 J0);

Jn4 := 425.9186589

> r1 := 0;

r1 := 0

> r2 := (3.85/2 + 2.5);

r2 := 4.425000000

> r3 := (3.85/2 + 2.5 + 4.3);

r3 := 8.725000000

> r4 := (3.85/2 + 2.5 + 4.3 + 4.3);

r4 := 13.02500000

> omega1:=2*h1/(r*t1);

omega1 := 2*h1/(r*t1)

> (14.6^2 -10.32^2)*0.6;

63.99456

> 8.8*2.3*3.14*3.1^2/4;

152.6875240

> JnVid := subs( r = 1.75, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - 10,

           t1 = 9.3,

           t2 = 18,

 J0);

JnVid := 355.6933186

> 5.5*20/6.5;

16.92307692

> 0.6*18^2;

194.4

> 3.1*120/26.;

14.30769231

> 14.30769231;

14.30769231

>

Это оценки омег, для того, чтобы посмотреть разности кинетической энергии при проходе нижнего положеиния грузом. Первое - наши данные, второе - сравнение с fmc

> omega0 := 2*(h2) / (t2 - t1)/r;

omega0 := 2*h2/((t2-t1)*r)

> omega1 := 2 * h1/t1/r;

omega1 := 2*h1/(t1*r)

Первая, вторая и третья точка

> W1 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           t1 = (5.1 + 4.91 + 5.03) /3,

 omega1);

W1 := 33.24468084

> W0 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (39 + 39.5 + 39.5)/3,

           t1 = (5.1 + 4.91 + 5.03) /3,

           t2 = (9 + 8.78 + 8.62)/3,

 omega0);

W0 := 32.47261346

> W0 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (30.5 + 29.5 + 29)/3,

           t1 = (5.88 + 5.91 + 5.69) /3,

           t2 = (10.56 + 10.56 + 10.29)/3,

 omega0);

W0 := 28.79476748

> W1 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (30.5 + 29.5 + 29)/3,

           t1 = (5.88 + 5.91 + 5.69) /3,

           t2 = (10.56 + 10.56 + 10.29)/3,

 omega1);

W1 := 28.60411897

> W0 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (24.5 + 23.5 + 21.5)/3,

           t1 = (7.53 + 7.19 + 7.15) /3,

           t2 = (13.59 + 13.16 + 13.41)/3,

 omega0);

W0 := 23.11524207

> W1 := subs( r = 1.8, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - (24.5 + 23.5 + 21.5)/3,

           t1 = (7.53 + 7.19 + 7.15) /3,

           t2 = (13.59 + 13.16 + 13.41)/3,

 omega1);

W1 := 22.86236852

Точка  с видеозаписи

> W1 := subs( r = 1.75, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - 10,

           t1 = 9.3,

           t2 = 18,

 omega1);

W1 := 18.43317972

>

> W0 := subs( r = 1.75, g = 981, m = 0.19, h1 = 150,
           h2 = 150 - 10,

           t1 = 9.3,

           t2 = 18,

omega0);

W0 := 18.39080459

>

>

>

Внимание! Ниже -- данные fmc

> W1 := subs( r = 1.75, g = 981, m = 0.2, h1 = 150 - 10,
           h2 = 150 - 25,

           t1 = 10.93,

           t2 = 20.3,

 omega1);

W1 := 14.63860933

> W0 := subs( r = 1.75, g = 981, m = 0.2, h1 = 150 -10,
           h2 = 150 - 25,

           t1 = 10.93,

           t2 = 20.3,

 omega0);

W0 := 15.24622656

> Jlast :=  (m*g*r^2)/0.19 - m*r^2;

Jlast := 5.263157895*m*g*r^2-m*r^2

> Jnlast := subs( r = 0.175, g = 98.1, m = 0.2, Jlast);

Jnlast := 3.156309210

>

>

>

>