Jirrooyinka ku xiran xarigga iyo boolalku - hirgelinta sharciga Newton ee dhibaatooyinka dhaqdhaqaaqa iyo xalalka

1. Laba sanduuq ayaa isku xira xadhig ku dul socda boolal. Iska ilow cufka xadhigga iyo boolal iyo wax kasta oo is jiidjiid ah oo ku jira boolal. Cufka sanduuqa 1 = 2 kg, cufka sanduuqa 2 = 3 kg, dardargelinta cufisjiidadka awgeed = 10 m/s 2. Soo hel (a) Dardargelinta nidaamka (b) Xiisadda ku jirta xadhigga!

Jirrooyinka ku xiran xarig iyo boolal - hirgelinta sharciga Newton ee dhibaatooyinka dhaqdhaqaaqa iyo xalalka 1

Solution

Jirrooyinka ku xiran xarig iyo boolal - hirgelinta sharciga Newton ee dhibaatooyinka dhaqdhaqaaqa iyo xalalka 2La yaqaan:

Cufka sanduuqa 1 (m1 ) = 2 kg

Cufka sanduuqa 2 (m2 ) = 3 kg

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

Miisaanka sanduuqa 1 (w 1 ) = m 1 g = (2)(10) = 20 Newtons

Miisaanka sanduuqa 2 (w 2 ) = m 2 g = (3)(10) = 30 Newtons

Xalka:

(a) baaxadda iyo jihada dardargelinta

w 2 > w 1 markaa sanduuqa 2 wuxuu si degdeg ah hoos ugu socdaa sanduuqa 1aadna kor ayuu u socdaa.

Ciidamada leh jihada isku midka ah ee dardargelinta (w 2 iyo T 1 ), calaamadoodu waa togan. Ciidamada leh jihada lidka ku ah dardargelinta (T 2 iyo w 1 ), calaamadoodu waa taban.

∑ F = ma

w2 - T2 +T1 - w1 = (m1 +m2) a ——-> T1 =T2 =T

w 2 – T + T – w 1 = (m 1 + m 2 ) a

w 2 – w 1 = (m 1 + m 2 ) a

30 – 20 = (2 + 3) a

10 = 5 a

a = 10/5

a = 2 m/s 2

Baaxadda xawaaraha waa 2 m/s 2.

(b) Xoogga xiisadda

Sanduuqa 2aad:

Waxaa jira laba xoog oo ku yaal sanduuqa 2: marka hore, miisaanka sanduuqa 2 (w 2 ), wuxuu tilmaamayaa hoos si uu u noqdo mid togan. Marka labaad, xoogga xiisadda ee lagu sameeyay sanduuqa 2 (T 2 ), wuxuu tilmaamayaa kor si uu u noqdo mid taban. Ku dhaqan sharciga labaad ee dhaqdhaqaaqa ee Newton .

∑ F = ma

w 2 – T 2 = m 2 a

30 – T 2 = (3)(2)

30 – T 2 = 6

T 2 = 30 – 6

T 2 = 24 Newton

Sanduuqa 1aad:

Waxaa jira laba xoog oo ku yaal sanduuqa 1. Marka hore , miisaanka sanduuqa 1 (w 1 ), wuxuu tilmaamayaa hoos si uu u noqdo taban. Marka labaad , xoogga xiisadda ee lagu sameeyay sanduuqa 1 (T 1 ) wuxuu tilmaamayaa kor si uu u noqdo togan. Ku dabaq sharciga labaad ee dhaqdhaqaaqa Newton:

∑ F = ma

T 1 – w 1 = m 1 a

T 1 – 20 = (2)(2)

T 1 – 20 = 4

T 1 = 20 + 4

T 1 = 24 Newton

Baaxadda xoogga xiisadda = T 1 = T 2 = T = 24 Newtons

Arag sidoo kale  Xeerka ugu horreeya ee Kirchhoff - dhibaatooyinka iyo xalalka

2. Shay saaran dusha sare oo siman oo qallafsan. Cufka shayga 1 = 2 kg, cufka shayga 2 = 4 kg, dardargelinta cufisjiidadka awgeed = 10 m/s 2 , isku-dhafka is-jiidjiidka taagan = 0.4, isku-dhafka is-jiidjiidka dhaqdhaqaaqa = 0.3. Nidaamku wuu nasanayaa mise waa la dedejinayaa? Haddii nidaamku la dedejinayo, raadi baaxadda iyo jihada dardargelinta nidaamka!

Jirrooyinka ku xiran xarig iyo boolal - hirgelinta sharciga Newton ee dhibaatooyinka dhaqdhaqaaqa iyo xalalka 3

Solution

Jirrooyinka ku xiran xarig iyo boolal - hirgelinta sharciga Newton ee dhibaatooyinka dhaqdhaqaaqa iyo xalalka 4La yaqaan:

Cufka shayga 1 (m1 ) = 2 kg

Cufka shayga 2 (m2 ) = 4 kg

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

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

Isugeynta is-xoqidda dhaqdhaqaaqa ( μk ) = 0.3

Miisaanka shayga 1 (w 1 ) = m 1 g = (2)(10) = 20 Newtons

Miisaanka shayga 2 (w 2 ) = m 2 g = (4)(10) = 40 Newtons

Xoogga caadiga ah ee lagu sameeyay shayga 1 (N) = w 1 = 20 Newtons

Xoogga is-jiidjiidka taagan ee lagu sameeyay shayga 1 (f s ) = μ s N = (0.4)(20) = 8 Newtons

Xoogga is-jiidjiidka ee lagu sameeyay shayga 1 (f k ) = μ k N = (0.3)(20) = 6 Newtons

La Doonayo: dardargelinta (a)

Xalka:

w 2 > f s (40 Newton > 8 Newton) markaa shayga 2 si toosan ayaa loo dardargeliyaa hoos, shayga 1na si toosan ayaa loo dardargeliyaa dhanka midig. Xoogga isjiidjiid ee ku shaqeeya walxaha 1 waa xoogga isjiidjiidjiidjiidjiid (f k ). Ku dhaqan sharciga labaad ee dhaqdhaqaaqa Newton:

∑ F = ma

w 2 – the = (m 1 + m 2 ) a

40 – 6 = (2 + 4) a

34 = 6 a

a = 34 / 6 = 17 / 3

a = 5.7 m/s 2

Baaxadda xawaaraha = 5.7 m/s 2

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  1. Cufka iyo miisaanka
  2. xoog caadi ah
  3. Sharciga labaad ee dhaqdhaqaaqa Newton
  4. Xoogga is-qabqabsiga
  5. Dhaqdhaqaaq dusha sare ee jiifa 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

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