Daidaiton gawawwaki a kan wani babban titin da aka karkata - amfani da matsalolin da mafita na dokar farko ta Newton

1. Toshe mai nauyin kilogiram 2 yana kwance a kan wani jirgin sama mai karkata a kusurwar 37 ^o zuwa kwance. Kayyade girman ƙarfin waje da aka yi amfani da shi a kan toshe, don haka toshe bai zame ƙasa da jirgin ba. (sin 37 ^o = 0.6, cos 37 ^o = 0.8, g = 10 ms ^-2 , µ _k = 0.2)

An sani:

Nauyi (m) = 2 kg

Saurin gudu saboda nauyi (g) = 10 m/s ²

Nauyin tubalan ( w) = mg = (2)(10) = Newtons 20

Zunubi 37 ^o = 0.6

cos 37 ^o = 0.8

Ma'aunin gogayya mai motsi (µ _k ) = 0.2

y-partment na nauyin (w _y ) = w cos 37 ^o = (20)(0.8) = Newtons 16

Sashen x na nauyin (w _x ) = w sin θ = (20)(sin 37) = (20)(0.6) = Newtons 12

Ƙarfin da aka saba (N) = w _y = 16 Newtons

Ana so : Ƙarfin waje (F)

Mafita :

w_x = 12 Newton

Ƙarfin gogayya mai motsi (f _k ) = µ _k N = (0.1)(16) = 1.6 Newtons

Girman ƙarfin waje F da aka yi a kan toshe :

F + f _k – w _x = 0

F = w _x – f _k

F = 12 – 1.6

F = 10.4 Newton

Ƙarfin waje F ya fi Newtons 10.4 girma.

[irp]

2. Nauyin tubali = 2 kg, ma'aunin gogayya mai tsauri µ _s = 0.4 da θ = 45 ^o . Kayyade girman ƙarfin F don haka tubalin ya fara zamewa sama.

An sani:

Ma'aunin gogayya mai tsauri (µ _s ) = 0.4

Kusurwoyi (θ) = 45 ^o

Saurin gudu saboda nauyi (g) = 10 m/s ²

Nauyin tubalan (m) = kilogiram 2

Nauyin tubalan (w) = mg = (2 kg)(10 m/s ² ) = 20 kg m/s ² = 20 Newtons

Sashen x na nauyin (w _x ) = w sin θ = (20)(sin 45) = (20)(0.5√2) = 10√2 Newtons

y-partion na nauyin (w _y ) = w cos θ = (20)(cos 45) = (20)(0.5√2) = 10√2 Newtons

Ana so : Girman ƙarfin F

Magani:

Toshe zai fara zamewa sama, idan F ≥ w_x + f_s.

Sashen x na nauyin:

w _x = 10√2 Newton

bangaren y na nauyin :

w _y = 10√2 Newton

Ƙarfin al'ada :

N = w _y = 10√2 Newton

Ƙarfin gogayya mai motsi :

f _s = µ _s N = (0,4) (10√2) = 4√2

Girman ƙarfin F don toshe ya fara zamewa sama :

F ≥ w _x + f _s

F ≥ 10√2 + 4 √2

F ≥ 14√2 Newton

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1. Ƙwayoyin cuta a cikin ma'auni ɗaya
2. Ƙwayoyin cuta a cikin ma'auni mai girma biyu
3. Daidaiton jikin da aka haɗa ta hanyar igiyoyi da ƙwallo
4. Daidaiton jikin da ke kan jirgin da aka karkata