Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita

1. Mota tana zagaye lanƙwasa mai bandeji. Menene kusurwar hanya wacce take da lanƙwasa mai tsawon mita 60 tare da saurin ƙira na mita 20/s? A ɗauka babu gogayya tsakanin mota da hanya.

Magani

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 1N = ba ƙarfin yau da kullun

N sin θ = sashin kwance na ƙarfin al'ada

N cos θ = bangaren tsaye na ƙarfin al'ada

w = mg = nauyin motar

An tsara hanyar ne don a yi mata bandeji domin kawar da dogaro da gogayya.

Ana buƙatar ƙarfin kwance na raga, ɓangaren kwance na ƙarfin da aka saba amfani da shi ( N sin θ) , don ci gaba da tafiya a cikin da'ira a kusa da lanƙwasa.

Mun zaɓi axis na x a matsayin kwance da axis na y a matsayin tsaye, don haka hanzarta centripetal, aR, yana kan hanyar kwance. A cikin hanyar kwance, ƙarfin kawai shine ɓangaren kwance na ƙarfin al'ada (N zunubi θ), wanda ake buƙata don samar da hanzarin tsakiya. N sin θ = centripetal karfi.

Yi amfani da dokar motsi ta Newton a tsaye:

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 5

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A yi amfani da dokar motsi ta Newton a kan alkiblar kwance:

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 7

Maye gurbin N a cikin lissafi na 1 zuwa N a cikin lissafi na 2 :

Zagaye lanƙwasa mai banked - yanayin matsalolin motsi na zagaye da mafita 1

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  1. Nauyi da nauyi
  2. ƙarfin al'ada
  3. Dokar motsi ta biyu ta Newton
  4. Ƙarfin gogayya
  5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
  6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
  7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
  8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
  9. Motsi a cikin lif
  10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
  11. Jikuna biyu masu girman gudu iri ɗaya
  12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
  13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
  14. Motsi iri ɗaya a cikin da'irar kwance
  15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya

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