Kuenzana kwemiviri iri mudenga rakarerekera - kushandiswa kwematambudziko ekutanga emutemo waNewton nemhinduro dzawo

1. Bhokisi re2-kg riri panzvimbo yakakombama pakona 37 ^o kuenda kune yakatwasuka. Sarudza hukuru hwesimba rekunze rinoshandiswa pabhokisi, kuitira kuti bhokisi risatsvedzerere pasi. (sin 37 ^o = 0.6, cos 37 ^o = 0.8, g = 10 ms ^-2 , µ _k = 0.2)

Zvinozivikanwa:

Huremu (m) = 2 kg

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

Kurema kwebhuroko (w) = mg = (2)(10) = 20 Newtons

Chivi 37 ^o = 0.6

Cos 37 ^o = 0.8

Kukweshana kwekinetic (µk ₎ = 0.2

Chikamu che y chehuremu (w _y ) = w cos 37 ^o = (20)(0.8) = 16 Newtons

Chikamu che x chehuremu (w _x ) = w sin θ = (20)(chivi 37) = (20)(0.6) = 12 Newtons

simba rakajairika (N) = w _y = 16 maNewton

Zvinodiwa : Simba rekunze (F)

Mhinduro :

w_x = 12 Newton

Simba rekukweshana kwekinetic (f _k ) = µ _k N = (0.1)(16) = 1.6 Newtons

Hukuru hwesimba rekunze F rakashandiswa pabhuroko :

F + f _k – w _x = 0

F = w _x – f _k

F = 12 – 1.6

F = 10.4 Newton

Simba rekunze F rakakura kupfuura 10.4 Newtons.

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2. Huremu hwebhuroko = 2 kg, coefficient ye static friction µ _s = 0.4 uye θ = 45 ^o . Tsvaga hukuru hwesimba F kuitira kuti bhuroko ritange kutsvedza.

Zvinozivikanwa:

Chiyero chekukweshana kwesimba (µs ₎ = 0.4

Angle (θ) = 45 ^o

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

Huremu hwebhuroko (m) = 2 kg

Huremu hwebhuroko (w) = mg = (2 kg)(10 m/s ² ) = 20 kg m/s ² = 20 Newtons

Chikamu che x chehuremu (w _x ) = w sin θ = (20)(chivi 45) = (20)(0.5√2) = 10√2 Newtons

Chikamu che y chehuremu (w _y ) = w cos θ = (20)(cos 45) = (20)(0.5√2) = 10√2 Newtons

Zvinodiwa : Hukuru hwesimba F

Solution:

Bhokisi rinotanga kutsvedza, kana F ≥ w_x + f_s.

Chikamu che x chehuremu:

w _x = 10√2 Newton

chikamu che y chehuremu :

w _y = 10√2 Newton

Simba rakajairika :

N = w _y = 10√2 Newton

Simba rekukweshana kwesimba :

f _s = µ _s N = (0,4)(10√2) = 4√2

Kukura kwesimba F zvekuti bhokisi rinotanga kutsvedza mudenga :

F ≥ w _x + f _s

F ≥ 10√2 + 4 √2

F ≥ 14√2 Newton

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1. Zvidimbu zviri muchiyero chimwe chete
2. Zvidimbu zviri muchimiro chemativi maviri
3. Kuenzana kwemiviri yakabatana netambo nemapulley
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