Stress Strain Young's modulus - Problems and Solutions

د فشار فشار یانګ ماډول - ستونزې او حل لارې

1. A nylon string has a diameter of 2 mm, pulled by a force of 100 N. Determine the stress!

پیژندل شوی:

ځواک (F) = 100 N

Diameter (d) = 2 mm = 0.002 m

Radius (r) = 1 mm = 0.001 m

غوښتل شوي: فشار

حل:

سیمه:

A = π r²

A = (3.14)(0.001 m)² = 0.00000314 م²

A = 3.14 x 10^-6 m²

The stress :

Stress, strain, Young's modulus sample problems with solutions 1

هم وګوره د بریښنا احتمالي انرژي - ستونزې او حل لارې

2. A cord has original length of 100 cm is pulled by a force. The change in length of the cord is 2 mm. Determine the strain!

پیژندل شوی:

Original length (l₀) = ۱۰ سانتي متره = ۰.۱۰ متر

The change in length (Δl) = 2 mm = 0.002 m

غوښتل شوي: The strain

حل:

دtrain :

Stress, strain, Young's modulus sample problems with solutions 2

هم وګوره Newton's first law of motion – problems and solutions

3. A string 4 mm in diameter has original length 2 m. The string is pulled by a force of 200 N. If the final length of the spring is 2.02 m, determine : (a) stress (b) strain (c) Young’s modulus

پیژندل شوی:

Diameter (d) = 4 mm = 0.004 m

Radius (r) = 2 mm = 0.002 m

Area (A) = π r² = (3.14)(0.002 m)²

مساحت (A) = 0.00001256 متر²= 12.56x10^-6 m²

قوه (F) = 200 N

Original length of spring (l₀) = ۱ متر

The change in length (Δl) = 2.02 – 2 = 0.02 m

غوښتل شوي: (a) The stress (b) The strain c) Young’s modulus

حل:

(a) The sټیس

Stress, strain, Young's modulus sample problems with solutions 3

(b) The Strain

Stress, strain, Young's modulus sample problems with solutions 4

Stress, strain, Young's modulus sample problems with solutions 5

هم وګوره Intensity of sound – problems and solutions

4. A string has a diameter of 1 cm and the original length of 2 m. The string is pulled by a force of 200 N. Determine the change in length of the string! Young’s modulus of the string = 5 x 10⁹ N / م²

پیژندل شوی:

Young’s modulus (E) = 5 x 10⁹ N / م²

Original length (l₀) = ۱ متر

قوه (F) = 200 N

Diameter (d) = 1 cm = 0.01 m

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

Area (A) = π r² = (3.14)(5 x 10^-3 m)²= (3.14)(25 x 10^-6 m²)

Area (A) = 78.5 x 10^-6 m²= 7.85x10^-5 m²

پراري : The change in length (Δl)

حل:

Young’s modulus formula :

په اوږدوالي کې بدلون :

Stress, strain, Young's modulus sample problems with solutions 7

هم وګوره خطي پراختیا - ستونزې او حل لارې

5. A concrete has a height of 5 meters and has unit area of 3 m³ ملاتړ کوي a ډله of 30,000 kg. Determine (a) The stress (b) The strain (c) The change in height! سرعت د جاذبې له امله (g) = ۱۰ متره/ ثانیه². Young’s modulus of concrete = 20 x 10⁹ N / م²