Środek ciężkości krzywej.pdf

(111 KB) Pobierz
Microsoft Word - 0603.doc
3U]\NáDG URGHNFL*NRFLNU]\ZHM
=QDOH ( üURGHNFL*NRFLNU]\ZHMSU]HGVWDZLRQHMQDSRQL*V]\PU\VXQNX
Rysunek 1
URGHNFL*NRFLNU]\ZHMPR*QDREOLF]DüQDSRGVWDZLHZ]RUyZL]DVDGSRGREQ\FKGR
RERZL]XMF\FKSU]\REOLF]HQLDFKURGNDFL*NRFLILJXUSáDVNLFK-HG\Q]PLDQMHVW
]DVWSLHQLHRGSRZLHGQLRQDZV]\VWNLFKPLHMVFDFKZHZ]RUDFKSU]HVWDZLRQ\FKZ
]DGDQLXSRODSRZLHU]FKQLILJXU$±GáXJRFLNU]\Z\FK/
3U]\NáDGRZRZ]RU\QDVWDW\F]QHPRPHQW\EH]ZáDGQRFLSR]PLDQLHZ\JOGDMQDVWSXMFR
Q
Q
å
å
/
=
/
=
(1)
6 /\ 6 /[
[
L &
\
L &
=
=
L
L
Rysunek 2
89767290.036.png 89767290.037.png 89767290.038.png 89767290.039.png 89767290.001.png 89767290.002.png 89767290.003.png 89767290.004.png 89767290.005.png 89767290.006.png 89767290.007.png 89767290.008.png 89767290.009.png 89767290.010.png 89767290.011.png 89767290.012.png 89767290.013.png 89767290.014.png
:\]QDF]DMFURGHNFL*NRFLNU]\ZHMSU]HGVWDZLRQHMQDU\VXQNXSRG]LHORQRMQDJyUQ
SRáRZLGROQüZLDUWNRNUJXRUD]SU]\MWRZFHOXXSURV]F]HQLDREOLF]HXNáDGRVLZ
URGNXSRáRZ\RNUJXSDWU]U\VXQHN
URGHNFL*NRFLSRáRZ\RNUJX&
1
OH*\QDMHMRVLV\PHWULLMHMZVSyáU]GQDSLRQRZD\
C1 jest
WDNDVDPDMDNGODüZLDUWNL
:FHOXSR]QDQLDWHMZVSyáU]GQHMSROLF]\P\SRáR*HQLHURGNDFL*NRFLüZLDUWNLRNUJX
XV\WXRZDQHMMDNQDU\VXQNX2ELHNU]\ZHEGPLDá\WVDPZVSyáU]GQSLRQRZURGND
FL*NRFL
Rysunek 3
5yZQDQLHQDVWDW\F]Q\PRPHQWEH]ZáDGQRFLGODNU]\ZHMZ\QRVL
/
= ò
6 [G/
\
/
:FHOXSROLF]HQLDZ\VWSXMFHMZSRZ\*V]\PZ]RU]HFDáNLZSURZDG]LP\ZVSyáU]GQ
ELHJXQRZ.SU]HGVWDZLRQQDU\VXQNX:\UD*HQLDVWRMFHSRGFDáNPDMQDVWSXMFH
wzory:
[ 5
=
FRV
a
G/ 5G
=
a
3RSRGVWDZLHQLXLFKGRFDáNLVWDW\F]Q\PRPHQWEH]ZáDGQRFL6 \
/
wynosi:
p
p
6 [G/ 5 5G 5 5
\
/
=
ò
=
ò
FRV VLQ
a
a
=
a
=
/
'áXJRüüZLDUWNLRNUJXSROLF]\P\Z\NRU]\VWXMFZ]yUQDGáXJRüFDáHJRRNUJX
=
p
=
p
5
/ 5
URGHNFL*NRFLüZLDUWNLRNUJXPD]DWHPZVSyáU]GQH
/
=
6
\
=
5
=
5
@
[
p
p
5
&
/
5
2
89767290.015.png 89767290.016.png 89767290.017.png 89767290.018.png 89767290.019.png 89767290.020.png 89767290.021.png
=
=
5
@
\ [
& &
p
5
2GPLHU]DMFZXNáDG]LHRVLSRZ\*V]HZDUWRFL]QDMGXMHP\URGHNFL*NRFLNU]\ZHM
Rysunek 4
=QDP\MX*]DWHPSRáR*HQLHURGNDFL*NRFLüZLDUWNLRNUJXRUD]V]XNDQZVSyáU]GQ
URGNDFL*NRFLSyáRNUJX
=
5
\
&
p
'ODNU]\ZHM]U\VXQNXPRPHQW\VWDW\F]QHEH]ZáDGQRFL]JRGQLH]Z]RUDPLWHJR
]DGDQLDZ\QRV]
=
p
5
+
p
ç
-
5
÷ =
/
6 5
p
5
p
5
[
=
p
+
p
é
ê
-
ç
-
5
÷
ù
ú = - -
(
p
)
/
6 5 5 5
5
\
p
'áXJRüFDáHMNU]\ZHM/Z\QRVL
=
p
=
p
5
/ 5
3RáR*HQLHURGNDFL*NRFLNU]\ZHMRNUHODP\SRGREQLHMDNGODILJXUSáDVNLFK
(
/
- -
p
)
(
-
p
)
=
6
\
=
5
=
@ -
[
p
p
5 5
&
5
/
/
6
5
=
=
=
@
[
\
p
p
5 5
&
5
/
:\]QDF]DMFSRáR*HQLHURGNDFL*NRFLQDU\VXQNXRWU]\PXMHP\
3
æ
ö
æ
ö
89767290.022.png 89767290.023.png 89767290.024.png 89767290.025.png 89767290.026.png 89767290.027.png 89767290.028.png 89767290.029.png
Rysunek 5
URGHNFL*NRFLNU]\ZHM]áR*RQHM]GZyFKVNáDGRZ\FKNU]\Z\FKOH*\]DZV]HQDRGFLQNX
áF]F\PURGNLFL*NRFLW\FKNU]\Z\FKSDWU]U\VXQHN3RGREQD]DVDGDRERZL]XMH
UyZQLH*GODILJXULEU\á
4
89767290.030.png 89767290.031.png 89767290.032.png 89767290.033.png 89767290.034.png 89767290.035.png
Zgłoś jeśli naruszono regulamin