Sinnaanta jirka oo ay ku xiran yihiin fiilooyin iyo boolal - adeegsiga dhibaatooyinka sharciga ugu horreeya ee Newton iyo xalalka

1. Sanduuq culeyskiisu yahay 5 kg ayaa saaran diyaarad u janjeerta xagal 30 ^{o ah} . Sanduuqa waxaa taageera xadhig. Go'aami xoogga xiisadda (T) iyo xoogga caadiga ah (N)!

Solution

ΣF_x = 0

T – w sin 30 ^o = 0

T = w sin 30 ^o

T = (5 kg)(9.8 m/s ² ) sin 30 ^o

T = (49)(0.5)

T = 24.5 Newtons

∑ F _y = 0

N – w cos 30 ^o = 0

N = w cos 30 ^o

N = (49)(0.87)

N = 43 Newton

2. Laba shay oo cufnaantoodu tahay m ₁ = m ₂ = 2 kg, oo ay ku xiran yihiin xarig aan cufnayn oo dul saaran shaandho aan isqabsanayn. Soo hel xoogagga xiisadda T ₁ iyo T ₂.

Solution

(a) Jaantuska jirka ee xorta ah ee shayga 1 (b) Jaantuska jirka ee xorta ah ee shayga 2

Ku dabaq sharciga ugu horreeya ee Newton diidmada 1aad:

∑ F _y = 0

T ₁ – w ₁ = 0

T ₁ = w ₁ = m ₁ g = (2 kg)(9.8 m/s ² ) = 19.6 N

Ku dabaq sharciga ugu horreeya ee Newton diidmada 2:

∑ F _y = 0

T ₂ – w ₂ = 0

T ₂ = w ₂ = m ₂ g = (2 kg)(9.8 m/s ² ) = 19.6 N

T ₁ = T ₂ = 19.6 N.

3. Shay miisaan leh w _A = 30 N iyo shay miisaan leh w _B = 40 N, waxaa ku xiran xarig khafiif ah oo ka gudba shaandho aan is jiidjiid lahayn oo ah cuf aan la taaban karin. Go'aami isku-dhafka is jiidjiidka ugu badan ee u dhexeeya w _B iyo dusha sare ee janjeedha, haddii nidaamku nasto.

Solution

(a) Jaantuska jirka ee xorta ah ee walaxda w _A (b) Jaantuska jirka ee xorta ah ee walaxda w _B

Ku dabaq sharciga ugu horreeya ee Newton si aad u diiddo w _A jihada toosan (y):

∑ F _y = 0 (ma jiro dardargelin jihada toosan)

T – w _A = 0

T = w _A = 30 Newton

Ku dabaq sharciga ugu horreeya ee Newton si aad u diiddo w _B jihada toosan (y) :

∑ F _y = 0

N – w _B cos 45 ^o = 0

N = w _B cos 45 ^o = (40)(0.7) = 28 Newtons

Ku dabaq sharciga ugu horreeya ee Newton si aad u diiddo w _B jihada toosan (x):

∑ F _x = 0

F _k + w _B sin 45 ^o – T = 0

μ _s N + w _B dembi 45 ^o – T = 0

μ _s (28) + (40) (0.7) - 30 = 0

μ _s (28) + 28 – 30 = 0

μ _s (28) = 30 – 28

μ _s (28) = 2

μ _s = 2/28

μ _s = 0.07

Isugeynta is-jiidjiidka ugu badan ee u dhexeeya w _B iyo dusha sare ee janjeedha = 0.07.

[wpdm_package id='490′]

1. Walxaha isku dheelitirka hal-cabbir ah
2. Walxaha dheelitirka laba-geesoodka ah
3. Sinnaanta jirka oo ay ku xiran yihiin xadhkaha iyo boolalku
4. Sinnaanta jirka ee diyaaradda u janjeerta