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Example 3 Consider a bar with a circular cross-section of varying width as in the figure below. It has length \( \ell=1.5 \mathrm{~m} \). The diameter at \( X \) is 8 mm and the diameter at \( Y \) is 12 mm . Determine the total extension of the bar due to a tensile force of 2000 N . Assume that \( E=200 \mathrm{GPa} \). X

          Example 3
Consider a bar with a circular cross-section of varying width as in the figure below. It has length \( \ell=1.5 \mathrm{~m} \). The diameter at \( X \) is 8 mm and the diameter at \( Y \) is 12 mm . Determine the total extension of the bar due to a tensile force of 2000 N . Assume that \( E=200 \mathrm{GPa} \).

X

Example 3
Consider a bar with a circular cross-section of varying width as in the figure below. It has length ℓ=1.5 m. The diameter at X is 8 mm and the diameter at Y is 12 mm . Determine the total extension of the bar due to a tensile force of 2000 N . Assume that E=200 GPa.

X

Added by Bego-A F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Abid Hussain

Step 1

5 \, \text{m} \) - Diameter at \( X \), \( d_X = 8 \, \text{mm} = 0.008 \, \text{m} \) - Diameter at \( Y \), \( d_Y = 12 \, \text{mm} = 0.012 \, \text{m} \) - Tensile force, \( F = 2000 \, \text{N} \) - Young's modulus, \( E = 200 \, \text{GPa} = 200 \times 10^9 Show more…

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Example 3 Consider a bar with a circular cross-section of varying width as in the figure below. It has length \( \ell=1.5 \mathrm{~m} \). The diameter at \( X \) is 8 mm and the diameter at \( Y \) is 12 mm . Determine the total extension of the bar due to a tensile force of 2000 N . Assume that \( E=200 \mathrm{GPa} \). X