Khatello ea Khatello ea Kelello Modulus ea Young - Mathata le Litharollo

Khatello ea Khatello ea Kelello Modulus ea Young - Mathata le Litharollo

1. Thapo ea nylon e na le bophara ba 2 mm, e huloang ke matla a 100 N. Fumana khatello!

Tse tsejoang:

Matla (F) = 100 N

Bophara (d) = 2 mm = 0.002 m

Radius (r) = 1 mm = 0.001 m

Ho batloa: Khatello ea maikutlo

Tharollo:

Sebaka:

A = π r 2

A = (3.14)(0.001 m) 2 = 0.00000314 m 2

A = 3.14 x 10 -6 m 2

Khatello ea maikutlo:

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 1

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2. Thapo e bolelele ba pele ba 100 cm e huloa ke matla. Phetoho ea bolelele ba thapo ke 2 mm. Fumana khatello!

Tse tsejoang:

Bolelele ba mantlha (l 0 ) = 100 cm = 1 m

Phetoho ea bolelele (Δl) = 2 mm = 0.002 m

Ho batloa: Mofuta

Tharollo:

Terene ea s :

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 2

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3. Khoele e bophara ba 4 mm e na le bolelele ba pele ba limithara tse 2. Khoele e huloa ke matla a 200 N. Haeba bolelele ba ho qetela ba selemo e le 2.02 m, fumana: (a) khatello ea maikutlo (b) khatello (c) modulus ea Young

Tse tsejoang:

Bophara (d) = 4 mm = 0.004 m

Radius (r) = 2 mm = 0.002 m

Sebaka (A) = π r 2 = (3.14) (0.002 m) 2

Sebaka (A) = 0.00001256 m 2 = 12.56 x 10 -6 m 2

Matla (F) = 200 N

Bolelele ba pele ba selemo (l 0 ) = 2 m

Phetoho ea bolelele (Δl) = 2.02 – 2 = 0.02 m

Ho batloa: (a) Khatello ea maikutlo (b) Khatello c) Modulus ea Young

Tharollo:

(a) Khatello ea maikutlo

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 3

(b) Moferefere

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 4

(c) Modulus ea Young

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 5

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4. Khoele e na le bophara ba 1 cm 'me bolelele ba pele ba 2 m. Khoele e huloa ka matla a 200 N. Fumana phetoho boleleleng ba khoele! Modulus ea Young ea khoele = 5 x 10 9 N/m 2

Tse tsejoang:

Modulus ea Young (E) = 5 x 10 9 N/m 2

Bolelele ba mantlha (l 0 ) = 2 m

Matla (F) = 200 N

Bophara (d) = 1 cm = 0.01 m

Radius (r) = 0.5 cm = 0.005 m = 5 x 10 -3 m

Sebaka (A) = π r 2 = (3.14)(5 x 10 -3 m) 2 = (3.14)(25 x 10 -6 m 2 )

Sebaka (A) = 78.5 x 10 -6 m 2 = 7.85 x 10 -5 m 2

Ho batloa : Phetoho ea bolelele (Δl)

Tharollo:

Foromo ea modulus ea Young:

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 6

Phetoho ea bolelele :

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 7

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5. Konkreite e na le bophahamo ba limithara tse 5 mme e na le sebaka sa yuniti sa 3 m 3 se tšehetsang boima ba 30,000 kg. Fumana (a) Khatello ea maikutlo (b) Khatello (c) Phetoho ea bophahamo! Ho potlaka ka lebaka la matla a khoheli (g) = 10 m/s 2 . Modulus ea Young ea konkreite = 20 x 10 9 N/m 2

Tse tsejoang:

Modulus ea Young ea konkreite = 20 x 10 9 N/m 2

Bophahamo ba pele (l 0 ) = limithara tse 5

Sebaka sa yuniti (A) = 3 m 2

Boima (w) = mg = (30,000)(10) = 300,000 N

Ho batloa: (a) Khatello ea maikutlo (b) Khatello (c) Phetoho ea bophahamo!

Tharollo:

(a) Khatello ea maikutlo

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 8

(b) Moferefere

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 9

(c) Phetoho ea bophahamo

Khatello ea maikutlo, khatello ea maikutlo, mathata a mohlala oa modulus ea Young ka litharollo 10

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  1. Molao oa Hooke
  2. Khatello ea maikutlo, khatello, modulus ea Young

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