: , , ( m) : m = 60, k = 12.
1. (1).
(1) .
.
:
r (r+0,2) = 0, r1 = 0, r2 = - 0,2.
, , (1)
(3)
1 2 .
1 2.
(4)
(3) (4) t, , t = 0. (3) (4) :
: 0 = 1+ 2, .. 1 = - 2.
16,74 = - 0,2 2,
2 = - 83,7; 1 = - 2 =83,7.
1 2 (3) (4),
(5)
2. (2)
(2)
(2) .
= 1 +2,
1
, (3)
2 - (2).
(3),
,
μ - , ,
μ1 = 0, μ2 = - 0,2.
(2) , : , , . 2 (2),
, .
= - 49, = 0 ,
2 = - 49,05 t.
, (2)
. (4)
3 4.
. (5)
(4) (5) : t = 0, y0 = 0,
Vy = 6,156
3 = - 4, 4 = - 276,03, 3 = 276,03.
,
(6)
(7)
(8)
(9)
, (6) (7) . Mathcad.
, = (), Plot, .. , Graph. (.4), (5) 4 .
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2.
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Mathcad .
m:=60 g:=9.81 k:=12 Vo:=18 α:= 20deg
Odesolve. :
) .
) Odesolve c : ( - ), (t), tk.
, = (), , .4.
.
(.5), D 400. , , 1 1. , 1 1 K, (. 5).
;
.
Matchad.
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, , Mathcad t, , . t:= 0,0.001..3.88 : T = 3.88 c. (.7) .
d h, =3.88 . Matchad
, d = 45, 648 , - h = 41,264 .
. (.8), (6) x(t) y(t) .
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. 8 , . , , , (. 9). V C, V C V C.
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Mathcad .
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, 25 /, 5,3 /2.
2. .
, , .
,
:
x=16,74 t.
(),
2 = 4,78.
,
,
, 2 = 0, ,
,
. (7) t (8),
Mathcad , x2(t) y2(t), , , , .
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. 12 , ( x1(t), y1(t))
: ( x(t), y(t)) ( x2(t),y2(t)).
, t2 =3,95 c, :
d = x2(3.95) = 66,28 , hhhhhhh = y2(3.95) = 57,571 ,
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, , . .13. 37,8 / .
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1. ?
2. .
3. , .
4. .
5. ?
6. .
7. , .
8. , , m, - α, f.
9. , m, - α, f.
10. , α .
11. , α , .
12. , .
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13. , , .