Mutemo wechipiri waNewton pamusoro pekufamba kwese kwese

Nyaya pamusoro pemutemo wechipiri waNewton wekufamba kwese kwese

4.1 Hukama huripo pakati penguva yesimba, nguva yekusaita chinhu, uye kukurumidza kwekona

Kana paine simba rinobuda (ΣF) richishanda pachinhu chine huremu (m) chinhu chinofamba nenzira yakatwasuka nekuwedzera (a). Hukama huripo pakati pesimba rinobuda, huremu, uye kuwedzera hunoratidzwa ne equation:

Σ F = ma

Uyu ndiwo muenzanisiro wemutemo wechipiri waNewton.

Huwandu hwekufamba kwekutenderera kwakafanana nesimba rinobuda (ΣF) mukufamba kwakatwasuka ndiyo nguva yesimba rinobuda (Στ). Huwandu hwekufamba kwekutenderera kwakafanana nehukuru (m) mukufamba kwakatwasuka ndiyo nguva dzekusaita (I). Huwandu hwekufamba kwekutenderera kwakafanana nekuwedzera simba (a) mukufamba kwakatwasuka ndiyo angular acceleration (α).

Kana paine nguva yesimba (Στ) inoitika ichishanda pachinhu chine nguva yakati yekusaita zvakanaka (I) chinhu chacho chinotenderera ne angular acceleration (α). Hukama huripo pakati pesimba re moment rinoitika, nguva yekusaita zvakanaka, uye angular acceleration hunoratidzwa kuburikidza ne equation:

Στ = I α

Iyi equation ifananidzo inotenderera yemutemo wechipiri waNewton.

4.2 Matambudziko emuenzaniso wemutemo wechipiri waNewton wekufamba kwese kwese

Dambudziko remuenzaniso 1.

Pulley yakasimba ine huremu hwe1 kg uye radius ye10 cm, pamipendero, tambo yakaputirwa, mugumo mumwe wetambo wakaturikwa nemutoro we1 kg. Funga kuti tambo haina huremu. Sarudza hukuru hwekumhanya kwemutoro kana wakasununguka wadonha pasi. (g = 10 m/s²)

Solution:

Anozivikanwa:

F = w = mg = (1 kg)(10 m/s ² ) = 10 N

r = 0.1 m

Zvinodiwa: Kukurumidza mutoro

Solution:

Kutanga, verenga nguva yekusashanda nesimba uye nguva yesimba.

Nguva yekusagadzikana kwepulley yakasimba:

I = 1⁄2 mr ² = 1⁄2 (1 kg)(0.1 m) ²

I = (0.5 kg)(0.01 m2 ⁾ = 0.005 kg ^m2

Nguva yesimba:

τ = F l = (10 N)(0.1 m) = 1 N m

Kukurumidzisa kwekona:

Kukurumidza kwemutoro:

a = r α = (0.1)(200) = 20 m/s ²

Dambudziko remuenzaniso 2.

Pulley yakasimba ine huremu hwe2M uye radius yeR, pamucheto, yakaputira tambo, mugumo mumwe wetambo wakaturikwa nemutoro une huremu hwe m. Kana mutoro wabviswa, pulley inotenderera nekukurumidzisa kwe angular. Kana pulley yakabatana nechinhu chine huremu hwe M, zvekuti pulley inotenderera nekukurumidzisa kwe angular kwakafanana, sarudza huremu hwemutoro. (I pulley = 1⁄2 MR ² ).

Solution:

Anozivikanwa:

Huremu hwepulley yakasimba: 2M

Nharaunda yepulley yakasimba: R

Huremu hwemutoro: m

Zvinodiwa: Huremu hwemutoro

Solution:

Verenga nguva yekusashanda kwepulley yakasimba, usati wabatanidza zvinhu zvine huremu M uye mushure mekubatanidza zvinhu:

Nguva yekusaita chinhu 1: I = 1⁄2 mr ² = 1⁄2

(2M)(R) ² = MR ²

Nguva yekusaita chinhu 2: I = 1⁄2 mr ² = 1⁄2

(2M + M)(R) ² = 1⁄2 (3M)(R) ² = 1.5 MR ²

Nguva yesimba rinoitwa nemutoro uri papulley:

τ = F l = (m)(g)(R)

Kukurumidza kwekona kwepulley kwakafanana, zvose pamberi uye mushure mekubatanidza zvinhu zvine huremu M.

Huremu hwemutoro = 1.5 yakapetwa huremu hwemutoro wekutanga.