Mienzaniso mishanu yemutemo wechipiri waNewton wekufamba kwese kwese
1. Tambo inomonererwa kumucheto kwesirinda isina chinhu uye mugumo wetambo unodhonzwa nesimba F kuitira kuti sirinda itenderere padivi rayo. nguva yemaitiro iri 2 Nm uye nguva yekusaita basa huremu hwesirinda 1 kg m2, sarudza kumhanyisa kwekona kwesirinda!
Kukurukurirana
Zvinozivikanwa kuti:
Nguva yesimba (τ) = 2 Nm
Nguva yekusaita basa (I) = 1 kg m2
Akabvunzwa: Kukurumidza kwe silinda kwekona!
Mhinduro:
Fomura yechipiri yaNewton yekufamba kwese kwese:
Στ = I α
Tsananguro: Στ = nguva yesimba inobuda, I = nguva yekusaita simba, α = kukurumidza kwekona
Kukurumidza kwe cylinder kwekona:
α = Στ / I = 2 / 1 = 2
Kukurumidza kwe silinda kwekona i2 radians pasekondi imwe chete, square = 2 rad/s2.
2. Tambo inomonererwa kumucheto kwesirinda isina chinhu uye mugumo wetambo unodhonzwa nesimba F kuitira kuti sirinda itenderere padivi rayo. Hukuru hwesimba rekudhonza F i10 Newtons, radius yesirinda i 0,2 metres uye nguva yekusashanda kwesirinda i 1 kg m2Sarudza kuti silinda iri kukurumidza sei!
Kukurukurirana
Zvinozivikanwa kuti:
Hukuru hwesimba rekudhonza (F) = 10 N
Nharaunda yesirinji (R) = 0,2 m
Nguva yekusaita basa (I) = 1 kg m2
Akabvunzwa: Kukurumidza kwe silinda kwekona!
Mhinduro:
Fomura yenguva yesimba, inozivikanwawo se torque:
τ = FR
Tsananguro: τ = nguva yesimba, F = simba, R = nharaunda yesirinji
Nguva yesimba ndeiyi:
τ = FR = (10 N)(0,2 m) = 2 N m
Fomura yechipiri yaNewton yekufamba kwese kwese:
Στ = I α
Tsananguro: Στ = nguva yesimba inobuda, I = nguva yekusaita simba, α = kukurumidza kwekona
Kukurumidza kwe cylinder kwekona:
α = Στ / I = 2 / 1 = 2 rad/s2
3. Tali dililitkan pada tepi silinder berlubang lalu ujung tali ditarik ke kanan dengan gaya F sehingga silinder berotasi pada porosnya. Besar gaya tarik F adalah 10 Newton, jari-jari silinder adalah 0,2 meter, massa silinder adalah 20 kilogram. Tentukan percepatan sudut silinder!
Kukurukurirana
Zvinozivikanwa kuti:
Hukuru hwesimba rekudhonza (F) = 10 N
Nharaunda yesirinji (R) = 0,2 m
Huremu hwesirinda (M) = 20 kg
Akabvunzwa: Kukurumidza kwe silinda kwekona
Mhinduro:
Nguva yesimba ndeiyi:
τ = FR = (10 N)(0,2 m) = 2 N m
Nguva yekusashanda kwe silinda isina chinhu:
Ini = 1⁄2 MR2 = 1⁄2 (20)(0,2)2 = 1⁄2 (20)(0,04) = 0,4 kg m2
Kukurumidza kwe cylinder kwekona:
α = Στ / I = 2 / 0,4 = 5 rad/s2
4. Mutoro unoturikwa padhisiki pulley yakasimba. Nguva yekusashanda kwedhisiki pulley i1 kg m2, huremu hwemutoro i1 kg uye radius yepulley i 0,2 metres. Sarudza kuti pulley inokurumidza zvakadii! Kukurumidza kwegiravhiti iri 10 m/s2.
Kukurukurirana
Zvinozivikanwa kuti:
Nguva yekusashanda kwepulley (I) = 1 kg m2
Huremu hwemutoro (m) = 1 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2
Berat mutoro (w) = mg = (1 kg)(10 m/s2) = 10 kg m/s2 = 10 Newton
Radiyo yepulley (R) = 0,2 metres
Akabvunzwa: Kukurumidza kwepulley kwekona
Mhinduro:
Nguva yesimba ndeiyi:
τ = FR = w R = (10 N)(0,2 m) = 2 N m
Nguva yekusashanda kwepulley:
I = 1 kg m2
Kukurumidza kwepulley kwekona:
α = Στ / I = 2 / 1 = 2 rad/s2
5. Mutoro unorembera kubva padhisiki rakasimba. Huremu hwedhisiki i20 kg, radius yedhisiki i 0,2 metres, uye huremu hwemutoro i 1 kg. Sarudza kumhanyisa kwedhisiki uye kukurumidza kwehuremu huri kudonha! Kumhanya kunokonzerwa negiravhiti i 10 m/s.2.
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwepulley (M) = 20 kg
Radiyo yepulley (R) = 0,2 metres
Huremu hwemutoro (m) = 1 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2
Kurema kwemutoro (w) = mg = (1 kg)(10 m/s2) = 10 kg m/s2 = 10 Newton
Akabvunzwa: Kukurumidza kwepulley nekuwedzera kwekudonha kwemutoro
Mhinduro:
Nguva yesimba ndeiyi:
τ = FR = w R = (10 N)(0,2 m) = 2 N m
Nguva yekusashanda kwepulley yedhisiki yakasimba:
Ini = 1⁄2 MR2 = 1⁄2 (20)(0,2)2 = (10)(0,04) = 0,4 kg m2
Kukurumidza kwepulley kwekona:
α = Στ / I = 2 / 0,4 = 5 rad/s2
Kukurumidza kwekudonha kwemutoro kwakafanana nekumhanya kwakanangana kwemucheto wepulley, kwakaverengerwa uchishandisa fomura hukama huripo pakati pekumhanya kwekona uye kumhanya kwemutsara :
a = R α = (0,2)(5) = 1 m/s2
Kukurumidza kwepulley (α) kwekona kuri 100 rad/s 2 uye kukurumidza kwemutoro unodonha kuri 20 m/s 2.
