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Four cylindrical rods with various cross-sectional areas
Chapter 17, Problem 41P(choose chapter or problem)
Problem 41P
Four cylindrical rods with various cross-sectional areas and initial lengths are stretched by an applied force, as in Figure 17-10. The resulting change in length of each rod is given in the following table. Rank these rods in order of increasing Young’s modulus. Indicate ties where appropriate.
Rod |
Applied Force |
Cross-Sectional Area |
Initial Length |
Change in Length |
1 |
F |
A |
L |
ΔL |
2 |
F |
2A |
2L |
ΔL |
3 |
2F |
1A |
L |
2ΔL |
4 |
3F |
A |
L/2 |
ΔL |
Questions & Answers
QUESTION:
Problem 41P
Four cylindrical rods with various cross-sectional areas and initial lengths are stretched by an applied force, as in Figure 17-10. The resulting change in length of each rod is given in the following table. Rank these rods in order of increasing Young’s modulus. Indicate ties where appropriate.
Rod |
Applied Force |
Cross-Sectional Area |
Initial Length |
Change in Length |
1 |
F |
A |
L |
ΔL |
2 |
F |
2A |
2L |
ΔL |
3 |
2F |
1A |
L |
2ΔL |
4 |
3F |
A |
L/2 |
ΔL |
ANSWER:
Step 1 of 3
The objective here is to arrange four rods in order of increasing Young’s Modulus when the lengths, cross sectional area, the force applied and the change in length due to the applied force is known.