Środek ciężkości figury płaskiej - zadanie 2.pdf

(122 KB) Pobierz
Microsoft Word - 0602.doc
3U]\NáDG URGHNFL*NRFLILJXU\SáDVNLHM±]DGDQLH
=QDOH ( üURGHNFL*NRFLILJXU\SU]HGVWDZLRQHMSRQL*HM
Rysunek 1
:FHOXSROLF]HQLDZVSyáU]GQ\FKURGNDFL*NRFLILJXU\]U\VXQNXSU]\MWRXNáDGRVLL
SRG]LHORQRMQDWU]\ILJXU\VNáDGRZHMDNQDU\VXQNX
Rysunek 2
89767289.040.png 89767289.041.png 89767289.042.png 89767289.043.png 89767289.001.png 89767289.002.png 89767289.003.png 89767289.004.png 89767289.005.png 89767289.006.png 89767289.007.png 89767289.008.png 89767289.009.png 89767289.010.png 89767289.011.png 89767289.012.png 89767289.013.png 89767289.014.png 89767289.015.png 89767289.016.png
=QDQHVSRáR*HQLDURGNyZFL*NRFLILJXU\LURGHNFL*NRFLüZLDUWNLNRáDOH*\QD
GZXVLHF]QHMNWDSURVWHJRJG\*MHVWWRRV\PHWULLILJXU\QLH]QDQHVMHGQDNMHJR
ZVSyáU]GQH
3ROLF]P\]DWHPRJyOQLHZVSyáU]GQHURGNDFL*NRFLZ\FLQNDNRáDRNFLHZHZQWU]Q\P
31DU\VXQNXSU]HGVWDZLRQRZ\FLQHNNRáDZUD]]SU]\MW\PXNáDGHPZVSyáU]GQ\FK
RUD]ZSURZDG]RQ\PLGODXáDWZLHQLDREOLF]HZVSyáU]GQ\PLELHJXQRZ\PL
Rysunek 3
Przy obliczaniu momentów statycznych S x i S y SRGVWDZLDP\QDVWSXMFR
[ U \ U
FRV VLQ
a
=
a
G$ GUUG UGUG
=
a
=
a
Pole powierzchni G$SROLF]RQH]RVWDáRMDNGODSURVWRNWDRERNDFK dr i UG
a
GáXJRüERF]QHM
FLDQNLLGáXJRüáXNXFRGODPDá\FKZLHONRFLNWDG
a
jest prawdziwe.
3U]HG]LDá\]PLHQQRFLGODZVSyáU]GQ\FKELHJXQRZ\FKGODUR]SDWU\ZDQHJRZ\FLQNDNRáD
Z\QRV]
U 5
>
a
Î< -
j j
>
.
/LF]HQLHZVSyáU]GQHM
x C PR*QDSRPLQüJG\*URGHNFL*NRFLILJXU\OH*\QDRVL\
3RSRGVWDZLHQLXZVSyáU]GQ\FKELHJXQRZ\FKX]\VNDQHFDáNZHZ]RU]HQD
S x PR*QD
REOLF]\üQLH]DOH*QLHGODRE\GZXZVSyáU]GQ\FK
p
+
j
p
é
ê
æ
ç
p
p
ö
÷
ù
ú =
5
æ
ö
æ
ö
+
j
=
ò
ò
5
a
a
=
(
-
a
)
= -
ç
+
j
÷ -
ç
-
j
÷
6 U GUG U 5
[
p
VLQ FRV FRV FRV
-
j
p
-
j
= -
5 5
[
(
-
VLQ VLQ VLQ
( ) ( )
-
j
)
]
=
( )
j
2
=
Î<
j
89767289.017.png 89767289.018.png 89767289.019.png 89767289.020.png 89767289.021.png 89767289.022.png
3ROHSRZLHU]FKQLILJXU\PR*QDSROLF]\üZVWRVXQNXGRSRZLHU]FKQLFDáHJRNRáD
$ 5 5
=
p
j
p
=
j
:VSyáU]GQDSLRQRZDURGNDFL*NRFLILJXU\ZSU]\MW\FKRVLDFK[\Z\QRVL
( )
6
5
VLQ
j
5
VLQ
( )
j
=
[
=
=
\
F
j
j
$
5
y C SRGVWDZLDMF
j
p
= , bo
j
=
p
:
'ODüZLDUWNLNRáD]QDMGXMHP\ZVSyáU]GQ
5 5
VLQ
ç
p
÷
5
=
=
=
\
F
p
p
p
:UDFDMFGRILJXU\]U\VXQNXZVSyáU]GQHURGNDFL*NRFLILJXU\SU]\SU]\MW\FKMDNQD
U\VXQNXRVLDFKXNáDGXZVSyáU]GQ\FKZ\QRV]
=
=
5 5
=
[ \
& &
p
p
6WRVXMFPHWRGJUXSRZDQLDILJXURWU]\PXMHP\Z]RU\QDVWDW\F]QHPRPHQW\EH]ZáDGQRFL
=
+
p
5 5
+
ç
-
÷ =
+
-
=
6 5 5
5 5 5 5 5 5
[
p
=
ç
-
÷ +
p
5 5
+
= -
+
+
=
6 5 5
5 5 5 5 5 5
\
p
Pole powierzchni wynosi:
=
+
p
5
+
=
+
p
$ 5
5 5
:VSyáU]GQHURGNDFL*NRFLZ\QRV]
6
5
=
\
=
=
@
[
&
+
op
(
+
p
)
5 5
$
5
5
6
=
=
=
@
[
\
&
+
op
(
+
p
)
5 5
$
5
=QDMGXMFQDU\VXQNXURGHNFL*NRFLX]\VNXMHP\
3
æ
ö
æ
ö
æ
ö
89767289.023.png 89767289.024.png 89767289.025.png 89767289.026.png 89767289.027.png 89767289.028.png 89767289.029.png 89767289.030.png 89767289.031.png 89767289.032.png
Rysunek 4
4
89767289.033.png 89767289.034.png 89767289.035.png 89767289.036.png 89767289.037.png 89767289.038.png 89767289.039.png

Plik z chomika:

Inne pliki z tego folderu:

Inne foldery tego chomika:

Zgłoś jeśli naruszono regulamin