Kufanana kwa matupi omwe ali pamlingo wopendekera - kugwiritsa ntchito mavuto ndi mayankho a lamulo loyamba la Newton

1. Chipolopolo cha makilogalamu awiri chili pamalo otsetsereka mozungulira pa ngodya ya 37 ^o kupita mopingasa. Dziwani kukula kwa mphamvu yakunja yomwe imagwiritsidwa ntchito pa chipolopolocho, kuti chipolopolocho chisagwedezeke pansi. (sin 37 ^o = 0.6, cos 37 ^o = 0.8, g = 10 ms ^-2 , µ _k = 0.2)

Zodziwika:

Kulemera (m) = 2 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s ²

Kulemera kwa chipika (w) = mg = (2)(10) = 20 Newtons

Tchimo 37 ^o = 0.6

Cos 37 ^o = 0.8

Koyefifiti ya kukangana kwa kinetic (µ _k ) = 0.2

Gawo la y la kulemera (w _y ) = w cos 37 ^o = (20)(0.8) = 16 Newtons

Chigawo cha x cha kulemera (w _x ) = w sin θ = (20)(sin 37) = (20)(0.6) = 12 Newtons

mphamvu yachibadwa (N) = w _y = 16 Newtons

Kufunidwa : Mphamvu yakunja (F)

Yankho :

w_x = 12 Newton

Mphamvu ya kukangana kwa kinetic (f _k ) = µ _k N = (0.1)(16) = 1.6 Newtons

Kukula kwa mphamvu yakunja F yomwe idagwiritsidwa ntchito pa block :

F + f _k – w _x = 0

F = w _x – f _k

F = 12 – 1.6

F = 10.4 Newton

Mphamvu yakunja ya F ndi yaikulu kuposa 10.4 Newtons.

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2. Kulemera kwa chipika = 2 kg, coefficient of static friction µ _s = 0.4 ndi θ = 45 ^o . Dziwani kukula kwa mphamvu F kuti chipikacho chiyambe kutsetsereka mmwamba.

Zodziwika:

Chiŵerengero cha kukangana kosasinthasintha (µs ₎ = 0.4

Ngodya (θ) = 45 ^o

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s ²

Kulemera kwa Block (m) = 2 kilogalamu

Kulemera kwa chipika (w) = mg = (2 kg)(10 m/s ² ) = 20 kg m/s ² = 20 Newtons

Chigawo cha x cha kulemera (w _x ) = w sin θ = (20)(sin 45) = (20)(0.5√2) = 10√2 Newtons

Gawo la y la kulemera (w _y ) = w cos θ = (20)(cos 45) = (20)(0.5√2) = 10√2 Ma Newton

Kufunidwa : Kukula kwa mphamvu F

Yankho:

Block imayamba kutsetsereka, ngati F ≥ w_x + f_s.

Chigawo cha x cha kulemera:

w _x = 10√2 Newton

gawo la y la kulemera :

w _y = 10√2 Newton

Mphamvu yachibadwa :

N = w _y = 10√2 Newton

Mphamvu ya kukangana kosasinthasintha :

f _s = µ _s N = (0,4) (10√2) = 4√2

Kukula kwa mphamvu F kotero kuti chipikacho chimayamba kutsetsereka mmwamba :

F ≥ w _x + f _s

F ≥ 10√2 + 4 √2

F ≥ 14√2 Newton

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