Oplossingen oefeningen Inleiding in de mechanica deel 1

, 4
^ [ = 300N




[ =
toon
: 60

< v
7
a

Eisen a. 65
9cg
:


72 = door


R
gw
:




①
65
-




[ as 300N +
. con Eg = -1300N sind
.




Fra = -200N Faq : ON



②
Fx = t 300N . con 600 -

door = -50N


Fy = +300N . nim 65 = 260N

③
'


µ . 1- sort + ( 260N ) =
265N


④
← ooit % ) contr) = =
100,875=7101
'

,Sos
WAS
4
A
Tot
Er SON f. h
+ F"
F sint )
gig
= =
:
de
=
- - - -
. .

p
. .




Fin = 400N na
Ik
"
> „
d ×
i
0 f )
\
Gw !
-6 ) >

[= 540N
-
'



. _ . .
.
i „
-

Fg ,



[ = -



Fay v Y F1
4
✓
b +
Fan
opl : ① bepaal baadt componenten
450
'

E. ×
=
-
500N . cosas Fry =
-


500N nim .




Fzx = t 400N . Con ⑨ Fey = t 600N .
sin
$


② $ berekenen
o
5- N Gs
⇐4 . min =
62,1
sind =
400N
=

4001




③ kracht componenten opstellen


EF ,
= 5008 . con 450 -1 hoor . con 62,10 = 540N

>
#
= -
500N .
sinus
t.hn . nim 62,10 = ION



④ Resultante bepalen
Shot
R = =




9=00




ij

, En
4
-

,
Bepaal kuddeompanelen
;
Fix 150 Erg
°

t = 100N Con = 100N sinds
.




¥
.




'
Fax = 150N . sim 100 Fzg = 150N conto
.




Í Fut
y
faalt componenten opstellen
. - - - - - - - - -
.


:
714
\
'


i
,
'
. :

27
' '
×
=
+ 100N costs.
+ 150N sinds
.
= 123N
,


Sos
Cbs Efg = t 100N . sinds 't 160N Conti 174N
.
=




Tot
Resultante berekenen
R
'
= Fix Ff =
123%+174 N =
213N


Bepalen richtinghoek
5478
sina.tt Its = = sina.no

, % 4kV
gig
: : Fr
gwn
=




Fr = 6kV
[3 =
Skv
D- = 300

"
^




%
± 7
n S




¥Í
300 (
.


( on
Fzy 300
= x



⇐
i.
-

V
opl : .




2 73
sr
-
. _ - .
.



f. ihkv 6kW con 35 1-4
%
- -
= .
=




%
= -5kt -

6kV . m'n 300 = -

8




t.sn/-4T+8T.-fot9Nx--ninlF
Fr =




) = sint ; %, ) .
-81,50
9 =
1800 -
a =
98,50

,-4 "
Bepaal krachtcomponenten
÷ ,
| '



t '
1 En
Fg
Erg
,



'
,
'
' [ +
= -
15000N = ON



& 72×7-5000 .
Nina { 4- -5000
.
-

Cosa


En Fsx =
10000N .
§ 534510000N § .




Fax =
80N
744 = ON
SOS ts

CAS Fsx = ON Tsg = 30000N
Tot


3- = -

15000N -
Snow sinds + 10000N ¥ + 800N =
- 7910N
× .
.




E. Snow 10 -0N % 30000N 19302N
fy = -
. con a -
.
+ =




µ =
fits =
20860



"
'


of -112
sinp.FI?IT=qgzs
67 →
q
→
"

, 4
p




↳ =
300N

A




§
5 "


e. = soon

< L S



4-4
? ×
E. =




,
5


j
Fz : hoon

①
[ = + hoor .
45 Fzy = -
400N .
% '

?
×

En '

En =
on
Fsx = +300N . } Fsg = t 300N .
¥

Fm = -
300N 744 = ON




②
①

ga = than .
¥ t 300N . } -

300N -
En = ON



Fg = -
hoon . % + 300N .
45 = ON



③

① Fax = the N .
ts + 300 N . % - 300N = 260N


[ ×
=
Kon

, 4 En
Fh
①
Fz

[ ×
=
ON Fry = -
SON
P
#
loon .




>
Fax = -70N .
s

M Fzy =
-70N .

A
2


I ×
505
( As
~ 73 , =
ON 734 = 80N
a 1
Tot
R '


Is
73
tnx =
60N .
# Faye-60N .
37
Pythons k - _
.
'




Fax : It 3
'

= 13
Fx Fsx = ON
Fsg : -100N

Fax : 321-52 = 34
10 .
9,81 : 98,1N


E.
f.
=
-70N .
¥ +60N b =
-6,8N

Eg , =
-
SON - 70N .
Tattoo -
60N .
37 -
door -140N 1139,7N)




µ .
taak : given =
show




#
-139,7
× = cont =
3,750

•



7=270
-

x = 266,25





ij