89

7HVW\VSUDZG]DMÈFH

*UXSD%

Test

$VWURQRPLDLbJUDZLWDFMD

:]DGDQLDFKļL ZVWDZNU]\ĝ\NZNZDGUDFLNRERNZ\EUDQHM

RGSRZLHG]L

1

S1DFLDïRSRUXV]DMÈFHVLÚUXFKHPMHGQRVWDMQ\PSURVWROLQLRZ\P]DF]ÚïDG]LDïDÊVLïDRbVWDïHMZDUWRĂFLZbNDĝGHM

FKZLOLSURVWRSDGïDGRNLHUXQNXUXFKXFLDïD:bZ\QLNXRGG]LDï\ZDQLDWHMVLï\FLDïR]DF]ÚïR

D]PQLHMV]DÊSUÚGNRĂÊ
ESRUXV]DÊVLÚSRRNUÚJX
FSRUXV]DÊVLÚSRSDUDEROL
G]ZLÚNV]DÊSUÚGNRĂÊ

2

S =JRGQLH ]b SUDZHP SRZV]HFKQHJR FLÈĝHQLD VLïD RGG]LDï\ZDQLD JUDZLWDF\MQHJR PLÚG]\ GZRPD FLDïDPL MHVW

ZSURVWSURSRUFMRQDOQDGR

DVXP\RGG]LDïXMÈF\FKPDV
EF]DVXRELHJXMHGQHJRFLDïDZ]JOÚGHPGUXJLHJR
FLORF]\QXPDVREXFLDï
GRGOHJïRĂFLPLÚG]\LFKĂURGNDPL

3

S:bUXFKXVDPRFKRGXQD]DNUÚFLHIXQNFMÚVLï\GRĂURGNRZHMVSHïQLD

DVLïDJUDZLWDFMLG]LDïDMÈFDQDVDPRFKöG
EVXPDVLïG]LDïDQLDVLOQLNDLbWDUFLDNöïRbSRGïRĝH
FVLïDFLÈJXVLOQLND
GVLïDWDUFLDNöïRbSRGïRĝH

4

S$E\V]WXF]Q\VDWHOLWDPöJïSRUXV]DÊVLÚSRXVWDORQHMRUELFLHPXVL

DPLHÊSUÚGNRĂÊUöZQÈ,SUÚGNRĂFLNRVPLF]QHM
EPLHÊSUÚGNRĂÊZLÚNV]ÈRG,SUÚGNRĂFLNRVPLF]QHM
F]RVWDÊZ\VWU]HORQ\]=LHPL],SUÚGNRĂFLÈNRVPLF]QÈ
GZ\NRQDÊMHGHQREUöWGRRNRïD=LHPLZFLÈJXJRG]LQ

5

S2NUHVRELHJXVHNXQGRZHMZVND]öZNLWUDG\F\MQHJR]HJDUNDUÚF]QHJR

DWRVHNXQGD
EWRVHNXQG
FWRPLQXW
GMHVW]DOHĝQ\RGMHMGïXJRĂFL

6

S :b ZLQG]LH ZDUV]DZVNLHJR 3DïDFX .XOWXU\ Lb 1DXNL MDGÈFHM QD WU]\G]LHVWH SLÚWUR ]QDMGXMÈ VLÚ SDVDĝHURZLH

RbïÈF]QHMPDVLHNJ6Lï\QDFLVNXQDSRGïRJÚJG\ZLQGDUXV]D]bSU]\VSLHV]HQLHP

P
s

2

ZbJöUÚRUD]JG\KDPXMH

]bWDNLPVDP\PSU]\VSLHV]HQLHPUöĝQLÈVLÚR

D1

E1

F1

G1

LPLÚLQD]ZLVNR

NODVDGDWD

90

7HVW\VSUDZG]DMÈFH

*UXSD%

7

S*G\E\.VLÚĝ\FPLDïGZDUD]\ZLÚNV]ÈPDVÚLb]QDMGRZDïVLÚGZXNURWQLHGDOHMRG=LHPLVLïDZ]DMHPQHJRSU]\-

FLÈJDQLDW\FKFLDï

D]ZLÚNV]\ïDE\VLÚGZDUD]\
E]ZLÚNV]\ïDE\VLÚF]WHU\UD]\
F]PDODïDE\GZDUD]\
GQLH]PLHQLïDE\ZDUWRĂFL

S1DSODQHFLH:HQXVRSURPLHQLXR)SU]\VSLHV]HQLHJUDZLWDF\MQH

SU]\SRZLHU]FKQLMHVWUöZQHJ

W

6DWHOLWD

SRUXV]DMÈF\VLÚZRNöïWHMSODQHW\SRRUELFLHRGOHJïHM

RbRRGSRZLHU]FKQLPDSUÚGNRĂÊvRNUHĂORQÈZ]RUHP

a) v =

√

J

W

R

3

.

b) v =

√

2

J

W

R

3

.

Fv =

√

3

J

W

R

.

d) v = 3

√

J

W

R

.

S¥UHGQLDRGOHJïRĂÊ8UDQDRG6ïRñFDMHVWUD]\ZLÚNV]DQLĝĂUHGQLDRGOHJïRĂÊ=LHPLRG6ïRñFD2EOLF]F]DV

MHGQHJRRELHJX8UDQDZRNöï6ïRñFD=DïöĝĝHWRU\SODQHWVÈRNUÚJDPL

S0\ĂOLZ\]EXGRZDïUXFKRPÈELHĝQLÚGODVZRLFKFKDUWöZ-HVWWRWDĂPD]DïRĝRQDQDGZDZDOFH]NWöU\FKNDĝG\

PDĂUHGQLFÚP$E\SLHVPöJïELHFSRELHĝQL]HVWDïÈSUÚGNRĂFLÈ

NP

K

ZDOFHSRZLQQ\Z\NRQ\ZDÊRNRïR

D

REU

s

.

b) 12

REU

s

.

F

REU

s

.

d) 6

REU

s

.

11

S3DUDODNVDKHOLRFHQWU\F]QDJZLD]G\Z\QRVLγĵ ĵ3RGDMRGOHJïRĂÊWHMJZLD]G\RG=LHPLZbSDUVHNDFKLbOD-

WDFKĂZLHWOQ\FK

SDUVHN URNXĂZLHWOQHJR

d =

1

γ

ĵ

12

S1DMDNLHMZ\VRNRĂFLQDGSRZLHU]FKQLÈ0DUVDSRUXV]DVLÚVRQGDMHĝHOLRELHJDSODQHWÚZbFLÈJXF]WHUHFKJRG]LQ"

3URPLHñ0DUVDNP
0DVD0DUVDĿ

23

kg