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11_InstSolManual_PDF_Part1 - ELASTICITY AND PERIODIC MOTION...

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11-1 E LASTICITY AND P ERIODIC M OTION 11 Answers to Multiple-Choice Problems 1. A 2. B 3. B 4. A 5. C 6. C 7. A, C, D 8. B 9. C 10. C 11. B 12. C 13. B 14. D 15. C Solutions to Problems 11.1. Set Up: with The force applied to the end of the wire is and Solve: (a) (b) (c) Reflect: Our result for Y is about the same size as the values in Table 11.1. In SI units the stress is very large. The strain is dimensionless and small, so Y is very large and has the same units (Pa) as stress. 11.2. Set Up: Solve: 11.3. Set Up: The cross-sectional area of the post is The force applied to the end of the post is The Young’s modulus of steel is Solve: (a) (b) The minus sign indicates that the length decreases. (c) 11.4. SetUp: Forsteel, Theforceappliedtotheendofthelowerwireis The force applied to the end of the upper wire is Tensile strain 5 D l l 0 5 F ' AY . 1 5.0 kg 1 10.0 kg 21 9.80 m / s 2 2 5 147.0 N. 98.0 N. 1 10.0 kg 21 9.80 m / s 2 2 5 Y 5 2.0 3 10 11 Pa. D l 5 l 0 1 strain
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