Isikhathi sokungalali kahle

Isikhathi Sokungakwazi Ukugxila Kwezinto Ezibalulekile

Kunezinto ezimbili, enye yazo inobunzima obuncane kanti enye inobunzima obukhulu. Iyiphi into elula ukuyihambisa uma icindezelwa ngamandla afanayo? Iqiniso libonisa ukuthi izinto ezinobunzima obuncane kulula ukuzihambisa kunezinto ezinobunzima obukhulu. Ngakho-ke ubukhulu besisindo sento bunquma ubukhulu bokusheshisa kwento uma kusetshenziswa amandla. Uma kunyakaza okuqondile, ubunzima bento bunquma ukuthi into kulula noma kunzima ukuyihambisa (ukusheshisa) khona-ke ekuhambeni okujikelezayo, umzuzu wokungashukumi kwento unquma ukuthi into kulula noma kunzima ukuyihambisa.

izinhlayiya
Cabanga ngenhlayiya ejikelezayo. Inhlayiya enesisindo m inikezwa amandla F ukuze inhlayiya ijikeleze i-axis yokujikeleza u-O. Inhlayiya iyibanga elingu-r ukusuka ku-axis yokujikeleza. Ekuqaleni inhlayiya iphumule (v = 0). Ngemva kokushukunyiswa amandla u-F, inhlayiya ijikeleza ngesivinini esithile ukuze inhlayiya ibe nokusheshisa okubonakalayo (i-tan).
Ubudlelwano phakathi kwamandla (F), isisindo (m), kanye nokusheshisa kwe-tangential (i-tan) yenhlayiya buvezwa yi-equation:
Inhlayiya iyajikeleza ukuze inhlayiya ibe nokusheshisa kwe-angular. Ubudlelwano phakathi kokusheshisa kwe-tangential kanye nokusheshisa kwe-angular buvezwa yi-equation:
Faka esikhundleni noma shintsha ukusheshisa kwe-tangential (i-tan) ku-equation 3 nge-tangential acceleration (i-tan) ku-equation 4.
Phindaphinda izinhlangothi zesobunxele nesokudla ngo-r:
r F yisikhathi samandla kanye noMnu.² yi-moment of inertia ye-particle I). I-equation 5 isho ubudlelwano phakathi kwe-moment of force, i-moment of inertia kanye ne-angular acceleration ye-particle ejikelezayo. I-equation 5 iyi-equation yesibili yomthetho kaNewton ye-particle ejikelezayo.
U-I ungumkhiqizo wobunzima be-particle (m) kanye nesikwele sebanga le-particle kusuka ku-axis yokujikeleza (r).²).
Imininingwane:
I = umzuzu wokungabi namandla kwenhlayiya, m = isisindo senhlayiya, r = ibanga phakathi kwenhlayiya kanye ne-axis yokujikeleza
Isibalo 6 sisetshenziselwa ukunquma umzuzu wokungapheleli kwenhlayiya ejikelezayo.
Ukuze uqonde kangcono isibuyekezo mayelana nesikhathi sokungabi namandla kwezinhlayiya, sicela funda izibonelo zezinkinga ze-particle moment of inertia.

Umzimba oqinile ofanayo
Umzimba oqinile wakhiwe yizinhlayiya eziningi ezisakazeke kuwo wonke umzimba. Umzuzu womzimba oqinile uyisamba sazo zonke izikhathi zenhlayiya ngayinye eyakha umzimba oqinile.
Ukuze kutholakale u-I wento eqinile, into ibukwa ngenkathi ijikeleza ngoba indawo ye-axis yokujikeleza ithinta inani lesikhathi. Ngaphezu kokuncika endaweni ye-axis yokujikeleza, u-I we-particle uphinde uncike ebunzini be-particle (m) kanye nesikwele sebanga le-particle kusuka ku-axis yokujikeleza (r).²). Ubunzima bazo zonke izinhlayiya ezakha into bufana nobunzima bento ngokwayo. Inkinga iwukuthi, ibanga lezinhlayiya ngayinye ukusuka ku-axis yokujikeleza liyahlukahluka.
Cabanga ngokutholwa kwefomula yendandatho encane ye-radius R kanye ne-mass M. Uma i-axis of rotation isenkabeni yendandatho, khona-ke zonke izinhlayiya ezakha indandatho zikude nge-r ukusuka ku-axis of rotation. I yendandatho encane ilingana nesamba sezikhathi zazo zonke izinhlayiya ezakha indandatho.
Inhlayiya ngayinye eyakha indandatho encane ikude ngo-r ukusuka ku-axis yokujikeleza ukuze u-r₁ =r₂ =r₃ = r = R.
Ifomula yendandatho encane:
Mina = MR²
Imininingwane:
I = umzuzu wokungabi namandla kwendandatho encane, M = isisindo sendandatho encane, R = irediyasi yendandatho encane
Kuthiwani uma i-axis of rotation ingekho maphakathi nendandatho? Uma i-axis of rotation ingekho maphakathi nendandatho, ifomula yendandatho encane ayinakutholwa kusetshenziswa indlela engenhla ngoba ibanga lenhlayiya ngayinye ukusuka ku-axis of rotation liyahlukahluka.

Ifomula yomzimba oqinile olinganayo
Okulandelayo amafomula emizimba eminingana eqinile efanayo.

Isibonelo sezinkinga

1. Imibuzo Yokuhlolwa Kazwelonke Ye-SMA/MA ka-2017

Naka ithebula elilandelayo!

Izinto u-P, u-Q, no-R zixhunywe ngenduku engenasisindo. Ubukhulu besikhathi sokungabi namandla kwesistimu mayelana ne-axis eqondile endizeni ngokusebenzisa i-axis yento u-P…

Ingxoxo

Kuyaziwa:

Kubuziwe: Isikhathi sokungahlali kahle kwesistimu

Impendulo:

Isikhathi sokungahlali kahle kwento Q:

I_Q = uMnu.² = (0,5)(10²) = (0,5)(100) = 50 kg m²

Isikhathi sokungahlali kahle kwento R:

I_R = uMnu.² = (3)(6²) = (3)(36) = 108 kg m²

Isikhathi sokungahlali kahle kwento P:

I-axis yokujikeleza idlula ku-axis yento P ukuze u-r = 0.

Isikhathi sokungakhathali kwesistimu:

I = 50 kg m ² + 108 kg m ²

Mina = 158 kg m²