Equation yesimba rekukweshana

Mibvunzo mitatu pamusoro peFriction force equation

1. Bhokisi A 3 kg inoiswa patafura yobva yasungirirwa patambo yakabatana nedombo B = 2 kg kuburikidza nepulley sezvakaratidzwa. Huremu nekukweshana kwemapulley zvinoregeredzwa. Kukurumidzisa nekuda kwegiravhiti g = 10 m/s 2 . Sarudza kukurumidza kwesystem uye kumanikidzwa kwetambo kana:

a) tafura yakatsetsekaEquation yesimba rekukweshana 1

b) tafura isina kurongeka ine chiyero chekukweshana kwekinetic che 0.4

Anozivikanwa:

Huremu hwebhuroko A (m A ) = 3 kg

Huremu hwedombo B (m B ) = 2 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Kurema kwebhuroko A (w A ) = mg = (3)(10) = 30 Newtons

Kurema kwedombo B (w B ) = mg = (2)(10) = 20 Newtons

Zvinodiwa: Kukurumidza kwehurongwa (a) uye kushushikana kwetambo (T)

Solution:

a) tafura yakatsetseka

Verenga kukurumidza kwehurongwa uchishandisa fomura yemutemo wechipiri waNewton:

ΣF = ma

w B = (m A + m B ) a

20 = (3 + 2) a

20 = 5 a

a = 20 / 5 = 4 m/s 2

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Verenga kumanikidzwa kwetambo uchishandisa fomura yekumanikidzwa kwetambo:

Kushushikana kwetambo pabhuroko A:

ΣF = m A a

T = m A a = (3)(4) = 12 Newtons

Kumanikidzwa kwetambo pabhuroko B:

ΣF = m B a

w B – T = (2)(4)

20 – T = 8

T = 20 – 8 = 12 Newton

b) tafura isina kurongeka ine chiyero chekukweshana kwekinetic che 0.4Equation yesimba rekukweshana 2

Simba rekukweshana kwekinetic:

F k = µ k N = (0,4)(30) = 12 Newtons

Verenga kukurumidza kwehurongwa uchishandisa fomura yemutemo wechipiri waNewton:

ΣF = ma

w B – f k = (m A + m B ) a

20 – 12 = (3 + 2) a

8 = 5 a

a = 8 / 5 = 1,6 m/s 2

Verenga kumanikidzwa kwetambo uchishandisa fomura yekumanikidzwa kwetambo:

Kushushikana kwetambo pabhuroko A:

ΣF = m A a

T – fk = m A a

T – 12 = (3)(1,6)

T – 12 = 4,8

T = 4,8 + 12 = 16,8 Newtons

Kumanikidzwa kwetambo pabhuroko B:

ΣF = m B a

w B – T = (2)(1,6)

20 – T = 3,2

T = 20 – 3,2 = 16,8 Newton

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2. Chinhu chine huremu hwe10 kg chiri mudenderedzwa rakatwasuka. Chiyero chekukakavadzana kwakagadzika i0.4 uye chiyero chekukakavadzana kwekinetic i0.35. g = 10 m/s 2. Kana chinhu chikapihwa simba rakatwasuka risingaperi re25 N, hukuru hwesimba rekukakavadzana rinoshanda pachinhu chacho i…

Anozivikanwa:Equation yesimba rekukweshana 3

Huremu hwechinhu (m) = 10 kg

Chiyero cheStatic friction (µ s ) = 0.4

Chiyero chekukweshana kwekinetic (µk) = 0.35

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Simba rakatwasuka (F) = 25 N

Simba rinokwevera zvinhu pasi (w) = mg = (10)(10) = 100 Newtons

Simba rakajairika (N) = w = 100 Newtons

Zvinodiwa: Huwandu hwekukweshana kwesimba (fs ) uye kinetic (f k )

Solution:

Simba rekukakavadzana kwechimiro chisina kusimba::

f s = µ s N = (0,4) (100) = 40 Newtons

Simba reKinetic Friction:

f k = µ k N = (0,35)(100) = 35 Newtons

Simba rakatambanuka rinongova maNewton makumi maviri nemashanu chete saka harikwanise kufambisa zvinhu parizvino.

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3. Huremu hwemabhuroko A neB ari mumufananidzo i10 kg ne5 kg zvakateerana. Chiyero chekukweshana pakati pebhuroko A nendege i0.2. Kudzivirira bhuroko A kuti risafambe, huremu hushoma hwebhuroko C hunodiwa ndi…

Anozivikanwa:Equation yesimba rekukweshana 4

Huremu hwebhuroko A (m A ) = 10 kg

Huremu hwebhuroko B (m B ) = 5 kg

Coefficient yekukweshana kwe static block A (µ s ) = 0,2

Kukurumidza kwesimba regiravhiti (g) = 10 m/s 2

Huremu hwebhuroko A (w A ) = m A g = (10)(10) = 100 Newtons

Huremu hwebhuroko B (w B ) = m B g = (5)(10) = 50 Newtons

Kukweshana kwakasimba (fs ) = µs N = (0,2)(w A + w C ) = (0,2)(100 + w C ) = 20 + 0,2 w C

Akabvunzwa: Huremu hwebhuroko C hwekuchengetedza sisitimu iri pakadzikama

Mhinduro:

Sisitimu iyi haina kumira zvakanaka saka fomura yemutemo wekutanga waNewton inoshandiswa:

ΣF = 0

w Bfs = 0

50 – (20 + 0,2 w C ) = 0

50 – 20 – 0,2 w C = 0

30 – 0,2 w C = 0

30 = 0,2 w C

w C = 30 / 0,2 = 300 / 2 = 150 Newtons

Huremu hwebhuroko C = 150 / 10 = 15 Kg