Sinnaanta jirka ee diyaarad u janjeerta - adeegsiga dhibaatooyinka sharciga ugu horreeya ee Newton iyo xalalka

1. Baloog 2-kg ah ayaa ku yaal meel toosan oo u janjeerta xagal 37 ^{o ah} oo u jirta dhinaca toosan. Go'aami baaxadda xoogga dibadda ee lagu sameeyay baloogga, si balooggu uusan hoos ugu simbirixan diyaaradda. (sin 37 ^o = 0.6, cos 37 ^o = 0.8, g = 10 ms ^-2 , µ _k = 0.2)

La yaqaan:

Cufnaanta (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 10 m/s ²

Miisaanka baloogga (w) = mg = (2)(10) = 20 Newtons

Dem 37 ^o = 0.6

Kos 37 ^o = 0.8

Isku-darka is -jiidjiidka dhaqdhaqaaqa (µ _k ) = 0.2

Qaybta y ee miisaanka (w _y ) = w cos 37 ^o = (20)(0.8) = 16 Newtons

Qaybta x ee miisaanka (w _x ) = w sin θ = (20)(dembi 37) = (20)(0.6) = 12 Newtons

xoogga caadiga ah (N) = w _y = 16 Newtons

La Doonayo : Xoogga dibadda (F)

Xalka :

w_x = 12 Newton

Xoogga is-jiidjiidka dhaqdhaqaaqa (f _k ) = µ _k N = (0.1)(16) = 1.6 Newtons

Baaxadda xoogga dibadda F ee ku dhacay baloogga :

F + f _k – w _x = 0

F = w _x – f _k

F = 12 – 1.6

F = 10.4 Newton

Xoogga dibadda F wuxuu ka weyn yahay 10.4 Newtons.

2. Cufka baloogga = 2 kg, isku-darka is-jiidjiidka taagan µ _s = 0.4 iyo θ = 45 ^o . Go'aami baaxadda xoogga F si baloogga uu u bilaabo inuu kor u simbirixdo.

La yaqaan:

Isugeynta is-jiidjiidka aan joogtada ahayn (µ _s ) = 0.4

Xagasha (θ) = 45 ^o

Dardargelinta cufisjiidadka awgeed (g) = 10 m/s ²

Cufka baloogga (m) = 2 kiilo garaam

Miisaanka baloogga (w) = mg = (2 kg)(10 m/s ² ) = 20 kg m/s ² = 20 Newtons

Qaybta x ee miisaanka (w _x ) = w sin θ = (20)(dembi 45) = (20)(0.5√2) = 10√2 Newtons

Qaybta y ee miisaanka (w _y ) = w cos θ = (20)(cos 45) = (20)(0.5√2) = 10√2 Newtons

La Doonayo : Baaxadda xoogga F

Xalka:

Balooggu wuxuu bilaabaa inuu kor u simbirixdo, haddii F ≥ w_x + f_s.

Qaybta x ee miisaanka:

w _x = 10√2 Newton

qaybta y ee miisaanka :

w _y = 10√2 Newton

Xoogga caadiga ah :

N = w _y = 10√2 Newton

Xoogga is-jiidjiid la'aanta :

f _s = µ _s N = (0,4) (10√2) = 4√2

Baaxadda xoogga F si balooggu u bilaabo inuu kor u simbirixdo :

F ≥ w _x + f _s

F ≥ 10√2 + 4 √2

F ≥ 14√2 Newton

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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