Dhaqdhaqaaqa diyaaradda oo si qallafsan u janjeerta oo leh xoogga isjiidjiidka - adeegsiga sharciga Newton ee dhibaatooyinka dhaqdhaqaaqa iyo xalalka

1. Cufka shayga = 2 kg, dardargelinta cuf-isjiidadka = 9.8 m/s ² , isku-dhafka is-jiidadka taagan = 0.2, isku-dhafka is-jiidadka dhaqdhaqaaqa = 0.1. Shayga ma nasanayaa mise waa la dedejinayaa? Haddii shayga la dedejinayo, hel (a) xoogga saafiga ah (b) baaxadda iyo jihada dardargelinta sanduuqa!

Solution

La yaqaan:

Cufnaanta (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ²

Isugeynta is-jiidjiidka aan joogtada ahayn ( μs ₎ = 0.2

Isku-darka is-xoqidda dhaqdhaqaaqa ( μk ₎ = 0.1

Miisaanka (w) = mg = (2)(9.8) = 19.6 Newtons

Qaybta toosan ee miisaanka ( w _x ) = w sin 30 ^o = (19.6)(0.5) = 9.8 Newtons

Qaybta toosan ee miisaanka th (w _y ) = w cos 30 ^o = (19.6)(0.5√3) = 9.8√3 Newtons

Xoogga caadiga ah (N) = w _y = 9.8√3 Newtons

Xoogga is-jiidjiidka aan joogtada ahayn (f _s ) = (0.2)(9.8√3) = 1.96√3 Newton = 3.39 Newton

Xoogga is-jiidjiidka dhaqdhaqaaqa (f _k ) = (0.1)(9.8√3) = 0.98√3 Newton = 1.69 Newton

Xalka:

Shaygu wuu nasanayaa haddii w _x < fs _s , shaygu hoos ayuu u socdaa haddii w _x > fs _s.

w _x = 9.8 Newtons iyo fs ₌ 3.39 Newtons.

(a) xoogga saafiga ah

∑ F = w _x – f _k = 9.8 – 1.69 = 8.11 Newtons

(b) baaxadda iyo jihada dardargelinta

∑ F = ma

8.11 = (2) a

a = 4.05

Baaxadda dardargelinta = 4.05 m/s ² iyo jihada dardargelinta = hoos.

[irp]

2. Cufka shayga = 4 kg, dardargelinta cuf-isjiidadka awgeed = 9,8 m/s ^2. Isku-darka is-jiidjiidka dhaqdhaqaaqa = 0.2 iyo isku-darka is-jiidjiidka taagan = 0.4. Cabbirka xoogga F = 40 Newtons. Shaygu wuu nasanayaa ama hoos buu u simbirixanayaa? Haddii shaygu hoos u simbirixanayo, raadi (a) xoogga saafiga ah (b) baaxadda iyo jihada dardargelinta!

Solution

La yaqaan:

Cufnaanta (m) = 4 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ²

Isugeynta is-jiidjiidka aan joogtada ahayn ( μs ₎ = 0.4

Isugeynta is-xoqidda dhaqdhaqaaqa ( μk ₎ = 0.2

Miisaanka (w) = mg = (4)(9.8) = 39.2 Newtons

Qaybta toosan ee miisaanka (w _x ) = w sin 30 ^o = (39.2)(0.5) = 19.6 Newtons

Qaybta toosan ee miisaanka (w _y ) = w cos 30 ^o = (392)(0..5√3) = 19.6√3 Newtons

Xoogga caadiga ah (N) = w _y = 19.6√3 Newtons = 33.95 Newtons

Xoogga is-jiidjiidka ee aan joogtada ahayn (f _s ) = μ _s N = (0,4)(33.95) = 13.58 Newtons

Xoogga is-jiidjiidka (f _k ) = μ _k N = (0.2)(33.95) = 6.79 Newtons

F = 40 Newton

Xalka:

Shayga ayaa hoos u dhacaya haddii F <w _x + fs _s . Shaygu wuxuu kor u dhacayaa haddii F > w _x + fs _s.

F = 40 Newtons, w _x = 19.6 Newtons iyo f _s = 13.58 Newtons.

F waa ka weyn tahay w _x + f _s sidaa darteed shaygu kor ayuu u simbiriirixanayaa.

(a) Xoogga saafiga ah

∑ F = F – w _x – f _k = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Baaxadda iyo jihada dardargelinta

∑ F = ma

6.4 = (4) a

a = 1.6

Baaxadda dardargelintu waa 1.6 m/s ² , jihada dardargelintuna waa kor.

[irp]

[wpdm_package id='481′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaqa dusha sare ee jiifka ah iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan ee qallafsan oo leh xoogga is-jiidjiidka
7. Dhaqdhaqaaqa diyaaradda u janjeerta iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaqa diyaaradda qallafsan ee u janjeerta oo leh xoogga is jiidjiidka
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka waxaa isku xira fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah