Ukujikeleza kwemizimba eqinile - izinkinga nezixazululo

Ukujikeleza kwemizimba eqinile - izinkinga nezixazululo

Isikhathi samandla

1. Amandla amathathu asebenza emshayweni onobude obungamamitha ayi-6, njengoba kuboniswe esithombeni esingezansi. Iyini i- torque enetha ejikeleza umshayweni mayelana nephuzu O njenge-axis yokujikeleza?

Kwaziwa:Ukujikeleza kwemizimba eqinile - izinkinga nezixazululo 1

I-axis yokujikeleza endaweni ethi O.

Amandla 1 (F 1 ) = F

Ibanga eliphakathi komugqa wesenzo sika-F 1 ne-axis yokujikeleza (r 1 ) = amamitha angu-3

Amandla 2 (F 2 ) = 2F

Ibanga eliphakathi komugqa wesenzo se-F2 ne -axis yokujikeleza (r 2 ) = amamitha angu-2

Amandla 3 (F 3 ) = 2F

Ibanga eliphakathi komugqa wesenzo se-F3 ne -axis yokujikeleza (r 3 ) = amamitha angu-3

Okufunwayo: Ubukhulu besikhathi samandla

Isixazululo:

Isikhathi samandla 1:

τ 1 = F 1 r 1 = (F)(3) = -3F

Umzuzu wamandla 1 ujikeleza umsebe ngokwewashi ngakho-ke sibeka uphawu olubi.

Isikhathi samandla 2:

τ 2 = F 2 r 2 = (2F)(2) = 4F

Umzuzu wamandla 2 ujikeleza umsebe ngokuphambene newashi ngakho-ke sibeka uphawu oluhle.

Isikhathi samandla 3:

τ 3 = F 3 r 3 isono 30 o = (2F)(3)(0.5) = 3F

Umzuzu wamandla 2 ujikeleza umsebe ngokuphambene newashi ngakho-ke sibeka uphawu oluhle.

Umphumela wesikhathi samandla:

Στ = τ 1 + τ 2 + τ 3

Στ = -3F + 4F + 3F

Στ = 4F

Ubukhulu besikhathi samandla buyi-4F Newton-meter. Umphumela wesikhathi samandla ujikeleza umsebe ngokuphambene newashi ngakho-ke sibeka uphawu oluhle.

2. α = 30 o , ubude buka-AB = BC = 1 imitha. Iyini isikhathi samandla mayelana ne-axis yokujikeleza endaweni A?

Kwaziwa:

I-axis yokujikeleza endaweni A. Ukujikeleza kwemizimba eqinile - izinkinga nezixazululo 2

Amandla 1 (F 1 ) = 10 N

Ibanga phakathi komugqa wesenzo sika-F1 ne -axis yokujikeleza (r1 ) = 1 imitha

Amandla 2 (F 2 ) = 10 N

Ibanga phakathi komugqa wesenzo sika-F2 ne -axis yokujikeleza (r2 ) = 1 imitha

Amandla 3 (F 3 ) = 20 N

Ibanga eliphakathi komugqa wesenzo se-F3 ne -axis yokujikeleza (r 3 ) = amamitha ama-2

Okufunwayo: Umphumela womzuzu wamandla

Isixazululo:

Isikhathi samandla 1:

τ 1 = F 1 r 1 isono 30 o = (10)(1)(0.5) = 5 N m

Umzuzu wamandla 1 ujikeleza umsebe ngokuphambene newashi ngakho-ke sicabanga ukuthi uphawu oluhle.

Isikhathi samandla 2:

τ 2 = F 2 r 2 sin 30 o = (10)(1)(0.5) = -5 amamitha e-Newton

Umzuzu wamandla 2 ujikeleza i-bea m ngokwewashi ngakho-ke sibeka uphawu olungeluhle.

Isikhathi samandla 3:

τ 3 = F 3 r 3 sin 60 o = (20)(2)(0.5√3) = -20√3 amamitha e-Newton

Umzuzu wamandla 3 ujikeleza ngomugqa wewashi ukuze sinikeze uphawu olubi.

Umphumela wesikhathi samandla:

Στ = τ 1 + τ 2 + τ 3

Στ = 5 – 5 – 20√3

Στ = – 20√3 N m

Ubukhulu besikhathi samandla bungu-20√3 N m. Umphumela wesikhathi samandla ujikeleza umsebe ngokwewashi ngakho-ke sibeka uphawu olungeluhle.

  1. Uyini umzimba oqinile, futhi uhluke kanjani emzimbeni ongaqinile?
    • Impendulo: Umzimba oqinile uyinto efanelekile lapho ibanga eliphakathi kwanoma yimaphi amaphuzu amabili anikeziwe emzimbeni lihlala lingaguquguquki, kungakhathaliseki amandla angaphandle noma ama-torque. Ngokuphambene nalokho, umzimba ongaqinile ungaguquguquka, okuvumela ibanga eliphakathi kwamaphuzu ngaphakathi komzimba ukuthi lishintshe.
  2. Isikhathi sokungabi namandla komzimba oqinile sihlobene kanjani nokusatshalaliswa kwawo ngobuningi?
    • Impendulo: Isikhathi sokungaguquguquki komzimba oqinile siyisilinganiso sokumelana kwawo nokunyakaza kokujikeleza mayelana ne-axis ethile futhi kuncike kokubili kubunzima bomzimba kanye nokusatshalaliswa kwawo maqondana ne-axis yokujikeleza. Kubalwa ngesamba semikhiqizo yesisindo sento ngayinye kanye nesikwele sebanga layo ukusuka ku-axis yokujikeleza.
  3. Iyini ukubaluleka kwamandla e-kinetic ajikelezayo omzimba oqinile ojikelezayo?
    • Impendulo: Amandla e-kinetic ajikelezayo ayisilinganiso samandla ngenxa yokujikeleza komzimba oqinile. Kuncike kokubili kumzuzu we-inertia kanye nejubane le-angular lomzimba, elinikezwe yi-1/2 , lapho yisikhathi sokungakhathali, futhi yijubane le-angular.
  4. Kwenzekani ngomfutho we-angular wesistimu yezinhlayiya uma kungekho mandla angaphandle asebenzayo kuyo?
    • Impendulo: Uma kungekho ma-torque angaphandle asebenza ohlelweni lwezinhlayiya, umfutho ophelele we-angular wesistimu uyalondolozwa. Lesi yisimiso sokulondolozwa komfutho we-angular.
  5. I-parallel-axis theorem isiza kanjani ekutholeni umzuzu we-inertia womzimba oqinile?
    • Impendulo: I-parallel-axis theorem ivumela umuntu ukubala isikhathi sokungapheleli komzimba oqinile mayelana nanoma iyiphi i-axis ehambisanayo nebanga. kude ne-axis ngokusebenzisa isikhungo sayo sobunzima. Ithi , lapho yisikhathi sokungakhathali mayelana nesikhungo sesisindo, isisindo esiphelele, futhi ibanga eliphakathi kwezimbazo ezimbili.
  6. Uyini umehluko phakathi kokugingqika ngaphandle kokushelela nokugingqika ngokushelela?
    • Impendulo: Ukugingqika ngaphandle kokushelela kwenzeka lapho umzimba oqinile ujikeleza cishe nge-axis eqondile ngenkathi uhumusha, ngaphandle kokunyakaza okuhlobene phakathi komzimba nobuso. Ukugingqika ngokushelela kusho ukuthi kukhona ukunyakaza okuhlobene noma ukushelela phakathi komzimba nobuso.
  7. I-radius ye-gyration ihlobene kanjani nesikhathi se-inertia?
    • Impendulo: I-radius of gyration iyisilinganiso esichaza indlela isisindo somzimba esisatshalaliswa ngayo nge-axis yaso yokujikeleza. Ichazwa njengempande yesikwele yesilinganiso sesikhathi se-inertia kuya ku-mass futhi inikeza ibanga elilinganayo ukusuka ku-axis lapho yonke i-mass ingagxiliswa khona ngaphandle kokushintsha isikhathi se-inertia.
  8. Ukwandisa isikhathi se-inertia kunamuphi umphumela ekusheshiseni kwe-angular komzimba oqinile we-torque ethile?
    • Impendulo: Nge-torque ethile, ukwandisa umzuzu we-inertia kuzonciphisa ukusheshisa kwe-angular, njengoba , lapho ukusheshisa kwe-angular, i-torque, futhi yisikhathi sokungakhathali.
  9. Ingabe amandla asetshenziswa emzimbeni oqinile angabangela kokubili ukunyakaza kokuhumusha kanye nokujikeleza? Chaza ukuthi kanjani.
    • Impendulo: Yebo, amandla asetshenziswa emzimbeni oqinile angabangela kokubili ukunyakaza kokuhumusha kanye nokujikeleza. Uma amandla esetshenziswa endaweni engahambisani nendawo ephakathi kwesisindo, angabangela ukuthi umzimba uhumushe (uhambe ngokuqondile) futhi ujikeleze. Ukunyakaza kokuhumusha kunqunywa amandla anetha, kuyilapho ukunyakaza kokujikeleza kuncike ku-torque edalwe amandla azungeze indawo ephakathi kwesisindo.
  10. Kungani umuntu odlala i-figure skater ephenduka ngokushesha uma esondeza izingalo zakhe emzimbeni wakhe?
  • Impendulo: Ngokudonsela izingalo zakhe eduze komzimba wakhe, umuntu oskeyithayo uyanciphisa isikhathi sakhe sokungagxili. Ngokusho kokulondolozwa komfutho we-angular, uma isikhathi sokungagxiliyo sehla futhi kungekho torque yangaphandle esetshenziswayo, ijubane le-angular kumele lande. Ngakho-ke, umuntu oskeyithayo ujikeleza ngokushesha.

Le mibuzo nezimpendulo zinikeza ukuqonda imiqondo eyinhloko ehlobene nokujikeleza kwemizimba eqinile.

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