Kufamba kwemiviri miviri ine kumhanyisa kwakafanana pamusoro penzvimbo yakatwasuka ine simba rekukweshana - matambudziko nemhinduro

1. Huremu hwebhokisi 1 i2 kg, huremu hwebhokisi 2 i4 kg, kukurumidza kwegiravhiti i10 m/s 2 , hukuru hwesimba F i40 Newtons. Kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 1 nepasi i0.2 uye kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 2 nepasi i0.3. Tsvaga (a) Huremu negwara rekukakavadzana kwebhokisi ( b) Huremu hwesimba rinoitwa nebhokisi 1 pabhokisi 2 (F 12 ) uye hukuru hwesimba rinoitwa nebhokisi 2 pabhokisi 1 (F 21 ).

Kufamba kwemiviri miviri ine kumhanyisa kwakafanana panzvimbo yakatwasuka yakatwasuka ine simba rekukweshana - matambudziko nemhinduro 1

mhinduro

Kufamba kwemiviri miviri ine kumhanyisa kwakafanana panzvimbo yakatwasuka yakatwasuka ine simba rekukweshana - matambudziko nemhinduro 2

Zvinozivikanwa:

Huremu hwebhokisi 1 (m1 ) = 2 kg

Huremu hwebhokisi 2 (m2 ) = 4 kg

Kukurumidza kwegiravhiti (g) = 10 m/s 2 ,

Simba F = 40 Newton,

Kukweshana kwekinetic pakati pebhokisi 1 nepasi ( μ k1 ) = 0.2

Kukweshana kwekinetic pakati pebhokisi 2 nepasi ( μ k2 ) = 0.3

Kurema kwebhokisi 1 (w 1 ) = m 1 g = (2)(10) = 20 Newtons

Kurema kwebhokisi 2 (w 2 ) = m 2 g = (4)(10) = 40 Newtons

Simba rakajairika rinoitwa pabhokisi 1 (N 1 ) = w 1 = 20 Newtons

Simba rakajairika rinoitwa pabhokisi 2 (N 2 ) = w 2 = 40 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 1 (f k1 ) = ( μ k1 )(N 1 ) = (0.2)(20) = 4 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 2 (f k2 ) = ( μ k1 )(N 2 ) = (0.3)(40) = 12 Newtons

Solution:

(a) Hukuru uye kutungamira kwekumhanya kwebhokisi

ΣF = ma

F – f k1 – f k2 = (m 1 + m 2 ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s 2

Kutungamira kwekukurumidzisa = kutungamira kwesimba remagetsi = kurudyi.

(b) Hukuru hwesimba rinoitwa nebhokisi 1 pabhokisi 2 (F 12 ) uye hukuru hwesimba rinoitwa nebhokisi 2 pabhokisi 1 (F 21 ).

Verenga hukuru hweF 12 :

ΣF = ma

F 12 – f k2 = (m 2 ) a

F 12 – 12 = (4)(4)

F 12 - 12 = 16

F 12 = 16 + 12

F 12 = 28 Newton

F 12 naF 21 masimba ekuita uye ekuita anoshanda pazvinhu zvakasiyana. F 12 naF 21 ane hukuru hwakafanana uye divi rakapesana.

F 12 = 28 Newtons = F 21 = 28 Newtons.

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2. Huremu hwebhokisi 1 i2 kg, huremu hwebhokisi 2 i4 kg, kukurumidza kwegiravhiti i10 m/s 2 , simba F i40 N. Kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 1 nepasi i0.2 uye kuwanda kwekukakavadzana kwekinetic pakati pebhokisi 2 nepasi i0.3. Sarudza (a) Hukuru uye kutungamira kwekukakavadzana (b) Kumanikidzwa kwetambo inobatanidza mabhokisi. Usatarisa huremu hwetambo.

Kufamba kwemiviri miviri ine kumhanyisa kwakafanana panzvimbo yakatwasuka yakatwasuka ine simba rekukweshana - matambudziko nemhinduro 3

Zvinozivikanwa:

Huremu hwebhokisi 1 (m1 ) = 2 kg

Huremu hwebhokisi 2 (m2 ) = 4 kg

Kukurumidza kwegiravhiti (g) = 10 m/s 2 ,

Simba F = 40 Newton,

Kuenzana kwekukweshana kwekinetic pakati pebhokisi 1 nepasi i0.2 ( μ k1 ) = 0.2

Kuenzana kwekukweshana kwekinetic pakati pebhokisi 2 nepasi i0.2 ( μ k2 ) = 0.3

Kurema kwebhokisi 1 (w 1 ) = m 1 g = (2)(10) = 20 Newtons

Kurema kwebhokisi 2 (w 2 ) = m 2 g = (4)(10) = 40 Newtons

Simba rakajairika rinoitwa pabhokisi 1 (N 1 ) = w 1 = 20 Newtons

Simba rakajairika rinoitwa pabhokisi 2 (N 2 ) = w 2 = 40 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 1 (f k1 ) = ( μ k1 )(N 1 ) = (0.2)(20) = 4 Newtons

Simba rekukweshana kwekinetic rakaitwa pabhokisi 2 (f k2 ) = ( μ k1 )(N 2 ) = (0.3)(40) = 12 Newtons

Solution:

(a) hukuru uye gwara rekumhanya

ΣF = ma

F – f k1 – f k2 = (m 1 + m 2 ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s 2

Hukuru hwekumhanya kwemhepo ndeye 4 m/s 2 , divi rekumhanya kwemhepo = divi resimba remagetsi = divi rekurudyi.

(b) Kushushikana mutambo

Masimba anoshandiswa pabhokisi 1 munzira yakatwasuka ndeaya: kumanikidzwa 1 (T 1 ) kurudyi uye simba rekukweshana kinetic 1 (f k1 ) kuruboshwe. Shandisa mutemo wechipiri waNewton:

ΣF = ma

T 1 – f k1 = m 1 a

T 1 – 4 = (2)(4)

T 1 – 4 = 8

T 1 = 8 + 4 = 12 Newton

Masimba anoshanda pabhokisi rechipiri munzira yakatwasuka ndiwo kumanikidzwa 2 (T 2 ) kuruboshwe uye simba rekukweshana kwekinetic 2 (f k2 ) kurudyi. Shandisa mutemo wechipiri waNewton :

ΣF = ma

F – T 2 – f k2 = m 2 a

40 – T 2 – 12 = (4)(4)

28 – T 2 = 16

T 2 = 28 – 16 = 12 Newton

Kusimba kwetambo inobatanidza mabhokisi = T 1 = T 2 = T = 12 Newtons.

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