( (1.1)):
. (1.4)
u max = A ω 0 - , .
p p :
(1.5)
a max = A ω0 2 - , .
(1.1), (1.4) (1.5) , , (p. 1.2). p, , p p , p p p . p p - p, p p p. p p p, p .
p :
W = W + W = mu 2 / 2 + kx2 / 2.
(1.4) (1.1) k = m ω 02 ( ),
W = k A2 / 2 = m A2 ω0 2 /2.(1.6)
(t), W (t) W (t) (.1.3) , .
. 1.2
. 1.3
C (. 1.3):
1. 5 x , . .
. (. (1.5)). F max = mA ω02. , : F max=5∙10-3 0,1∙4 = 2∙10-3 = 2.
E = 0,5∙5∙10-3∙4∙10-2 = 10-4 .
1 .3. p p
.
, m, , , (. 1.4). .
() , , . : F = - kx, k - p. :
ma = - kx. (1.7)
, , x. p p a p (1.5),
- m ω 0 2 x = - k x,
k = m ω02, p
(1.8)
, .
2. 5 . . .
. (1.8). , , : mg = - kx, k = mg/x. k (1.8):
|
|
:
(1.7) :
k/m = ω02,
(1.9)
(1.1).
3. . .
. : .
, : , = 2∙3,14/2 = 3,14 .
, (. 1.5), , .
mg
,
- (p p = OC).
p I e = M, I , , e - .
sin j = j,
(1.10)
(1.9) (1.10) , p
(1.11)
m, (. 1.6).
(1.11) , , ,
. (1.12)
(1.11) (1.12) , ,
.
. , I - p , p p O. p p
I C- p , p p p . p p
, p
(. . 1.5), 1, . . , , 1, , O .
4. b , (.1.7). .
. (1.11), ℓ = . ℓ=b /2 (. 1.7). I =1/3 mb 2. ,
, p p (. 1.6), . . pp x, p pp, .
, , .
|
|