Kuyenda kwa matupi awiri okhala ndi kuthamanga komweko pamalo opingasa ndi mphamvu yokangana - mavuto ndi mayankho

1. Misa Bokosi 1 ndi 2 kg, kulemera kwa bokosi 2 ndi 4 kg, kuthamanga kwa mphamvu yokoka ndi 10 m/s², kukula kwa mphamvu F ndi 40 Newtons. Coefficient ya kinetic friction pakati pa bokosi 1 ndi pansi ndi 0.2 ndipo coefficient ya kinetic friction pakati pa bokosi 2 ndi pansi ndi 0.3. Pezani (a) Kukula ndi komwe bokosilo likupita kuthamanga (b) Kukula kwa mphamvu yomwe bokosi 1 lili pa bokosi 2 limagwiritsa ntchito (F)₁₂) ndi kukula kwa mphamvu zomwe bokosi 2 limagwiritsa ntchito pa bokosi 1 (F₂₁).

Anakonza

Zodziwika:

Kulemera kwa bokosi 1 (m₁) = makilogalamu 2

Kulemera kwa bokosi 2 (m₂) = makilogalamu 4

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s²,

Mphamvu F = 40 Newton,

Coefficient of kukangana kwa kinetic pakati pa bokosi 1 ndi pansi (μ_k1) = 0.2

Koyefifiti ya kukangana kwa kinetic pakati pa bokosi 2 ndi pansi (μ_k2) = 0.3

The kulemera ya bokosi 1 (w₁) = m₁ g = (2)(10) = 20 Newton

Kulemera kwa bokosi 2 (w)₂) = m₂ g = (4)(10) = 40 Newton

The mphamvu yachibadwa yoikidwa pa bokosi 1 (N₁= w₁ = 20 Newton

Mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa bokosi 2 (N₂= w₂ = 40 Newton

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 1 (f)_k1) = (μ_k1)(N₁) = (0.2)(20) = 4 Newton

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 2 (f)_k2) = (μ_k1)(N₂) = (0.3)(40) = 12 Newton

Yankho:

(a) Kukula ndi momwe bokosilo limayendera mofulumira

ΣF = ma

F - f_k1 - f_k2 = (m₁ +m₂) ndi

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s²

Kuwongolera kwa kuthamanga = njira ya mphamvu ya ukonde = njira yakumanja.

(b) Kukula kwa mphamvu yomwe bokosi 1 lili pa bokosi 2 limagwiritsa ntchito (F)₁₂) ndi kukula kwa mphamvu zomwe bokosi 2 limagwiritsa ntchito pa bokosi 1 (F₂₁).

Werengerani kukula kwa F₁₂ :

ΣF = ma

F₁₂ - f_k2 = (m₂) ndi

F₁₂ – 12 = (4)(4)

F₁₂ - 12 = 16

F₁₂ = 16 + 12

F₁₂ = 28 Newton

F₁₂ ndi F₂₁ ndi mphamvu zochita ndi zochita zomwe zimagwira ntchito pazinthu zosiyanasiyana. F₁₂ ndi F₂₁ ali ndi kukula komweko komanso mbali yosiyana.

F₁₂ = 28 Newtons = F₂₁ = 28 Newtons.

2. Kulemera kwa bokosi 1 ndi 2 kg, kulemera kwa bokosi 2 ndi 4 kg, kuthamanga kwa mphamvu yokoka ndi 10 m/s², mphamvu F ndi 40 N. Coefficient ya kinetic friction pakati pa bokosi 1 ndi pansi ndi 0.2 ndipo coefficient ya kinetic friction pakati pa bokosi 2 ndi pansi ndi 0.3. Dziwani (a) Kukula ndi komwe kumayambira kuthamanga (b) Kukakamira kwa chingwe cholumikiza mabokosi. Musanyalanyaze kulemera kwa chingwe.

Zodziwika:

Kulemera kwa bokosi 1 (m₁) = makilogalamu 2

Kulemera kwa bokosi 2 (m₂) = makilogalamu 4

Kuthamanga kwa mphamvu yokoka (g) = 10 m/s²,

Mphamvu F = 40 Newton,

Koyefifiti ya kukangana kwa kinetic pakati pa bokosi 1 ndi pansi ndi 0.2 (μ_k1) = 0.2

Koyefifiti ya kukangana kwa kinetic pakati pa bokosi 2 ndi pansi ndi 0.2 (μ_k2) = 0.3

Kulemera kwa bokosi 1 (w)₁) = m₁ g = (2)(10) = 20 Newton

Kulemera kwa bokosi 2 (w)₂) = m₂ g = (4)(10) = 40 Newton

Mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa bokosi 1 (N₁= w₁ = 20 Newton

Mphamvu yachibadwa yomwe imagwiritsidwa ntchito pa bokosi 2 (N₂= w₂ = 40 Newton

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 1 (f)_k1) = (μ_k1)(N₁) = (0.2)(20) = 4 Newton

Mphamvu ya kugwedezeka kwa kinetic komwe kumachitika pa bokosi 2 (f)_k2) = (μ_k1)(N₂) = (0.3)(40) = 12 Newton

Yankho:

(a) kukula ndi njira ya kuthamanga kwa liwiro

ΣF = ma

F - f_k1 - f_k2 = (m₁ +m₂) ndi

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s²

Kukula kwa kuthamanga kwa liwiro ndi 4 m/s², njira ya kufulumizitsa = njira ya mphamvu yonse = njira ya kumanja.

(b) Kupsinjika kwa chingwe

Mphamvu zomwe zimachitika pa bokosi 1 molunjika ndi mphamvu 1 (T₁) kumanja ndi mphamvu ya kukangana kwa kinetic 1 (f_k1) kumanzere. Gwiritsani ntchito lamulo lachiwiri la Newton:

ΣF = ma

T₁ - f_k1 = m₁ a

T₁ - 4 = (2)(4)

T₁ - 4 = 8

T₁ = 8 + 4 = 12 Newtons

Mphamvu zomwe zimachitika pa bokosi 2 molunjika ndi mphamvu 2 (T₂) kumanzere ndi mphamvu ya kukangana kwa kinetic 2 (f_k2) kumanja. Ikani Lamulo lachiwiri la Newton :

ΣF = ma

F – T₂ - f_k2 = m₂ a

40 – T₂ – 12 = (4)(4)

28 – T₂ = 16

T₂ = 28 – 16 = 12 Newtons

Kukanika kwa chingwe cholumikiza mabokosi = T₁ = T₂ = T = 12 Newtons.

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1. Kulemera ndi kulemera
2. mphamvu yachibadwa
3. Lamulo lachiwiri la Newton la kayendedwe
4. Mkangano mphamvu
5. Kuyenda pamalo opingasa popanda mphamvu yokangana
6. Kuyenda kwa matupi awiri ndi kuthamanga komweko pamalo opingasa ozungulira ndi mphamvu yokangana
7. Kuyenda pa ndege yopendekeka popanda mphamvu yokangana
8. Kuyenda pa ndege yokhotakhota ndi mphamvu yokangana
9. Kuyenda mu elevator
10. Kuyenda kwa matupi olumikizidwa ndi zingwe ndi ma pulley
11. Matupi awiri omwe ali ndi kukula kofanana kwa kuthamanga
12. Kuzungulira makona osalala - mphamvu ya kayendedwe kozungulira
13. Kuzungulira mkombero wozungulira - mphamvu ya kuyenda kozungulira
14. Kuyenda kofanana mozungulira mopingasa
15. Mphamvu yapakati yozungulira yofanana