Q6_1030 - Math 415.01 — Quiz 6 10:30 recitation(Vutha The...

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Unformatted text preview: Math 415.01 — Quiz 6 - 10:30 recitation (Vutha) The following quiz is worth 25 points. You have 20 minutes to attempt it. Pleose show all work. Answers without work will receive no credit. You may use both sides of the paper. VH’chu l namemumber : (1) (17 pts) A mass of 20 g stretches a spring 20 cm. Suppose the mass is also attached to a viscous damper with a damping constant of 400 dyne — sec/ cm. If the mass is pulled down an additional 2 cm and then released, find its position u at any time t. (2) (8 pts) Solve the given boundary value problem or else show there is no solution. 2/” + 2y = 0, y’(0) = 1, y’(7r) = 0 K: 20 Mum} fut-i- kLA-T—O ZOJ+ 4OOwI+ '”;O 7 L134. ZOUL' .4._|_ wzo LACO);2 20 UJCO); Y2+ZOY+J :O _2‘oi (GOG—4‘4 20 m 2—0 2 = “201‘ L535 20 M An: ‘33“ “CH: C43 4’9e— MCON: 4. _ 2 U'(O r. " i _. § ) AlC-i-FAZC’L ,0 C4+gv12v 4: Q: Math 415.01 - Quiz 6 - 11:80 recitation (Vutha) The following quiz is worth 25 points. You have 20 minutes to attempt it. Please show all work. Answers without work will receive no credit. You may use both sides of the paper. namemumbe'r : Vu-l’l‘Q . I (1) (17 pts) A mass weighing 4 lb stretches a spring 1.5 in. The mass is displaced 2 in in the positive direction and released. Assuming there is an ecternal force of 2cos(3t) lb, solve for the expression describing the motion of the mass. (2) (8 pts) Find the eigenvalues and eigenvectors of the given boundary value problem. 1/” - Ay = 0, 31(0) = 0, 3/0) = 0 n: LLB ; i”) = 5?— ‘5/9 [-5- 425 '/8 Pl . M: i z I/ fEIL/KCI 32. 5 “ Mun-F kw: 2) ygu”+ 32m: -2. =3 u"+ L56 UK: '5005 (64’) ) “(0)33 ’U‘ Usk un-F lS'éucmO :D (5:351 ab :5 Y; i'ét‘: ugh) 1 c. 035064) + (Lamas-i) + BSfaSlz gr": —9 (AcosS-i + BSMS-i) 1 0 8:0 ugh]; Qmsgm) +ClsdxChs-l) + g COS(5+) 2.4-4 asi— - ‘6‘) 13. “'71:, " Q. 5!; (JIA 7M = A (“wk 1 QwG/ig ...
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Q6_1030 - Math 415.01 — Quiz 6 10:30 recitation(Vutha The...

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