1 Solu%ons for Homework set 1 – chapters 1—5 in...
7
Solu%ons for Homework set 1 – chapters 1—5 in Kinsler 1 1. 2.
Transcript of 1 Solu%ons for Homework set 1 – chapters 1—5 in...
![Page 1: 1 Solu%ons for Homework set 1 – chapters 1—5 in …courses.washington.edu/phys536/problems/problemset1solns.pdf“slender” (L>>diameter) as in this case. For ends clamped, f_1](https://reader034.fdocuments.net/reader034/viewer/2022042019/5e76d588da080460ac4d6027/html5/thumbnails/1.jpg)
Solu%onsforHomeworkset1–chapters1—5inKinsler 1
1.
2.
![Page 2: 1 Solu%ons for Homework set 1 – chapters 1—5 in …courses.washington.edu/phys536/problems/problemset1solns.pdf“slender” (L>>diameter) as in this case. For ends clamped, f_1](https://reader034.fdocuments.net/reader034/viewer/2022042019/5e76d588da080460ac4d6027/html5/thumbnails/2.jpg)
3.
![Page 3: 1 Solu%ons for Homework set 1 – chapters 1—5 in …courses.washington.edu/phys536/problems/problemset1solns.pdf“slender” (L>>diameter) as in this case. For ends clamped, f_1](https://reader034.fdocuments.net/reader034/viewer/2022042019/5e76d588da080460ac4d6027/html5/thumbnails/3.jpg)
5.
6.
![Page 4: 1 Solu%ons for Homework set 1 – chapters 1—5 in …courses.washington.edu/phys536/problems/problemset1solns.pdf“slender” (L>>diameter) as in this case. For ends clamped, f_1](https://reader034.fdocuments.net/reader034/viewer/2022042019/5e76d588da080460ac4d6027/html5/thumbnails/4.jpg)
8.
9.
10.
![Page 5: 1 Solu%ons for Homework set 1 – chapters 1—5 in …courses.washington.edu/phys536/problems/problemset1solns.pdf“slender” (L>>diameter) as in this case. For ends clamped, f_1](https://reader034.fdocuments.net/reader034/viewer/2022042019/5e76d588da080460ac4d6027/html5/thumbnails/5.jpg)
11.
12.2.2cont’d10.
11.Asteelbarofcrosssection0.0001m2and0.25mlengthisclampedatbothends.a)whatisitsfundamentalfrequencyforlongitudinalvibrations?b)whatisthefundamentalfrequencyforthesamebarbutfreeatbothends?c=sqrt(y/rho);forcommonsteelwecantakeY=200GPa=2x10^11Pa,density=7900kg/m^3,soc=sqrt(2x10^11/7900)=5030m/s.Forlongitudinalwaves,cross-sectiondoesnotmatteraslongasbaris“slender”(L>>diameter)asinthiscase.Forendsclamped,f_1=c/2L=5030m/s/0.5m=10kHzforendsfree,resultissame-differenceisthatclampedendsmustbenodes,freeendsmustbeanti-nodes,butfundamentalfhasL=lambda/2.
Alternate11.
![Page 6: 1 Solu%ons for Homework set 1 – chapters 1—5 in …courses.washington.edu/phys536/problems/problemset1solns.pdf“slender” (L>>diameter) as in this case. For ends clamped, f_1](https://reader034.fdocuments.net/reader034/viewer/2022042019/5e76d588da080460ac4d6027/html5/thumbnails/6.jpg)
13.
14.
15.
12.
![Page 7: 1 Solu%ons for Homework set 1 – chapters 1—5 in …courses.washington.edu/phys536/problems/problemset1solns.pdf“slender” (L>>diameter) as in this case. For ends clamped, f_1](https://reader034.fdocuments.net/reader034/viewer/2022042019/5e76d588da080460ac4d6027/html5/thumbnails/7.jpg)
16.
17.