Kushungurudzika Kwepfungwa Modulus yeYoung - Matambudziko neMhinduro

Kushungurudzika Kwepfungwa Modulus yeYoung - Matambudziko neMhinduro

1. Tambo yenylon ine dhayamita ye 2 mm, inodhonzwa nesimba re 100 N. Tsvaga kushushikana!

Zvinozivikanwa:

Simba (F) = 100 N

Dhayamita (d) = 2 mm = 0.002 m

Nharaunda (r) = 1 mm = 0.001 m

Kudiwa: Kushushikana

Solution:

Nzvimbo:

A = π r ²

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

A = 3.14 x 10 ^-6 m ²

Kushushikana:

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2. Tambo ine hurefu hwepakutanga hwemasendimita zana (100 cm) inodhonzwa nesimba. Kuchinja kwehurefu hwetambo i2 mm. Sarudza kuti tambo yacho yakamanikidzwa sei!

Zvinozivikanwa:

Kureba kwekutanga (l ₀ ) = 100 cm = 1 m

Kuchinja kwehurefu (Δl) = 2 mm = 0.002 m

Zvinodiwa: Dambudziko

Solution:

Chitima :

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3. Tambo ine dhayamita ye4 mm ine hurefu hwepakutanga hwemamita maviri. Tambo inodhonzwa nesimba re200 N. Kana hurefu hwekupedzisira hwechitubu huri 2.02 m, sarudza : (a) kushushikana (b) kumanikidzwa (c) Young's modulus

Zvinozivikanwa:

Dhayamita (d) = 4 mm = 0.004 m

Nharaunda (r) = 2 mm = 0.002 m

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

^{Nzvimbo (} A) = 0.00001256 m2 ⁼ 12.56 x 10 ^-6 m2

Simba (F) = 200 N

Kureba kwechitubu chepakutanga (l ₀ ) = 2 m

Kuchinja kwehurefu (Δl) = 2.02 – 2 = 0.02 m

Zvinodiwa: (a) Kushushikana (b) Kumanikidzwa c) Modulus yaYoung

Solution:

(a) Kushushikana

(b) Dambudziko

(c) Modulus yaYoung

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4. Tambo ine dhayamita ye 1 cm uye kureba kwepakutanga kwemamita maviri. Tambo inodhonzwa nesimba re 200 N. Tsvaga shanduko pakureba kwetambo! Modulus yeYoung yetambo = 5 x 10 ⁹ N/m ²

Zvinozivikanwa:

Modulus yeYoung (E) = 5 x 10 ⁹ N/m ²

Kureba kwekutanga (l ₀ ) = 2 m

Simba (F) = 200 N

Dhayamita (d) = 1 cm = 0.01 m

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

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

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

Zvinodiwa : Kuchinja kwehurefu (Δl)

Solution:

Fomura ye modulus yaYoung:

Kuchinja kwehurefu :

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5. Kongiri ine urefu hwemamita mashanu uye ine nzvimbo yeyuniti ye3 m3 ^inotsigira huremu hwe30,000 kg. Tsvaga (a) Kushushikana (b) Kumanikidzwa (c) Kuchinja kwehurefu! Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ² . Young's modulus yekongiri = 20 x 10 ⁹ N/m ²

Zvinozivikanwa:

Modulus yekongiri yaYoung = 20 x 10 ⁹ N/m ²

Kureba kwekutanga (l ₀ ) = mamita mashanu

Nzvimbo yeyuniti (A) = 3 m ²

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

Zvaidiwa: (a) Kushushikana (b) Kumanikidzwa (c) Kuchinja kwehurefu!

Solution:

(a) Kushushikana

(b) Dambudziko

(c) Kuchinja kwehurefu

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1. Mutemo waHooke
2. Kushushikana, kushushikana, modulus yeYoung