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?I9KII?ED 4FGQDMPACGQAMKNJCRCJWLCEJGEG@JCML?LWK?APMQAMNGAM@HCARAMLQGQRCLRUGRFCVNCPGCLAC)RGQA?JASJ?RCBRMMLJWMLCBGEGRQGLACRFC%?PRFxQDGCJB T?PGCQUGRFJMA?RGML?LBGQEGTCLRMMLJWMLCBGEGR 4FC%?PRFxQK?ELCRGADGCJBFMUCTCPBMCQNPMBSACTCPWGKNMPR?LRCDDCARQN?PRGASJ?PJWML QS@KGAPMQAMNGAN?PRGAJCQ3MKCMDRFCQC?PCCVNJMPCBGL EH9;ED7&EL?D=>7H=;?D7&7=D;J?9?;B:N7CFB;I7D:FFB?97J?EDI |
-?ELCRGADMPACA?LA?SQC?AF?PECBN?PRGAJCRMKMTCGL?AGPASJ?PMPQNGP?JN?RF#MQKGAP?WQ?PCCLCPECRGAAF?PECBN?PRGAJCQGLMSRCPQN?ACQMKCMD
UFGAF?NNPM?AFRFC%?PRF4FCWA?L@CDMPACBGLRMQNGP?JN?RFQ@WRFC%?PRFxQK?ELCRGADGCJB0PMRMLQGLEG?LR?AACJCP?RMPQ?PCICNRGL?AGPASJ?PN?RF
@WK?ELCRGADMPAC4FC@S@@JCAF?K@CPNFMRMEP?NFGL ?=KH; QFMUQAF?PECBN?PRGAJCQKMTGLEGLQSAFASPTCBN?RFQ4FCASPTCBN?RFQMD
AF?PECBN?PRGAJCQGLK?ELCRGADGCJBQ?PCRFC@?QGQMD?LSK@CPMDNFCLMKCL??LBA?LCTCL@CSQCB?L?JWRGA?JJWQSAF?QGL?K?QQQNCARPMKCRCP
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?=KH; 4P?GJQMD@S@@JCQ?PCNPMBSACB@WFGEF CLCPEWAF?PECBN?PRGAJCQKMTGLERFPMSEFRFCQSNCPFC?RCBJGOSGBFWBPMECLGLRFGQ?PRGQRxQPCLBGRGMLMD?@S@@JCAF?K@CP
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CLCPEWMDRFCN?PRGAJC
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Fc = mv2/ r .MRGLERF?R sin θ = 1 UCQCCRF?R F = qvB
?=KH; !LCE?RGTCJWAF?PECBN?PRGAJCKMTCQGLRFCNJ?LCMDRFCN?ECGL?PCEGMLUFCPCRFCK?ELCRGADGCJBGQNCPNCLBGASJ?PGLRMRFCN?ECPCNPCQCLRCB@WRFCQK?JJAGPAJCQ UGRFVxQvJGICRFCR?GJQMD?PPMUQ 4FCK?ELCRGADMPACGQNCPNCLBGASJ?PRMRFCTCJMAGRW?LBQMTCJMAGRWAF?LECQGLBGPCARGML@SRLMRK?ELGRSBC5LGDMPKAGPASJ?PKMRGMLPCQSJRQ
"CA?SQCRFCK?ELCRGADMPAC F QSNNJGCQRFCACLRPGNCR?JDMPAC Fc UCF?TC
qvB = mvr2.
3MJTGLEDMP r WGCJBQ
r = mv. qB
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