5

 

, . 5.1, Q [σ]=160.

 

 

 

1. (. 5.1).

 

2. ' . (. 5.1).

 

3. :

 

 

:

 

 

.

 

 

 

. 5.1

4. Q(z), M(z) .

.

I. 0 ≤ z 2

Q' = R - qz = 3,5 - 3z ;

Q{Z=0) = 3,5 ; Q{Z=2) =3,5 32 = -2,5 ;

' = R z qz2/2 = 3,5z 1,5z2 .

{Z=0) = 0; {Z=2) =3,52 1,522 = -2,5 .

 

II. 2 ≤ z 3

Q'' = R - q2 = 3,5 32 = - 2,5 = const;

'' = R z q2(z-1)= 3,5z 6(z-1) .

{Z=2) =3,52 6(2-1)=1,0 ; {Z=3) =3,53 6(3-1)=-1,5 .

 

III. 3z 4

Q''' =- R = -2,5 = const;

''' = R(4-z)=2,5(4 z) .

{Z=3) =2,5(4-3)=2,5 ; {Z=4) =0.

 

5. , Q(z), M(z) .

6. zo, Q = 0, . zo Q' = 0:

3,53z=0, z =1,17 .

:

(z) = 3,5zo 1,5 z2o = 3,51,17 1,51,172 = 2,05 .

7. ϳ .

, m =2,5 .

d = 55 .

 

 

 

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