Page 547 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

534 Answers to Selected Problems

0.50 -0.3873 0.1519' mco
8-24 -0.3873 0.7000 -0.6667 - A/ ~ r
0.1519 -0.6667 0.9923

8-27 = 0.613W — 1.543 o>3 = 1.6181/ — 0)^ = 2.149
m m m
0.3717) -0.3717) -0.6015)
0.6015 I -0.6015 ’ 0.3717 I
0.3717 j 4^2 ~ 0.3717 I -0.6015 ,
^0.6015j 0.6015 I 0.3717)

0.60151
-0.3717 I
</>4 =
-0.6015
0.3717)
CHAPTER 9

’-2 f = T l i T ' =
col
c
9-3 tan
- f e )
9-5 4.792 X lo-"* m /s
9-15 = (2n - D ^ i / — , n = 1,2,3,...

" I V p
•^0 pyl \

l C j
9-16 tan — =
c
9-19 T = 29.99 X 10^ lb, Tb^ = 107,980 x 10^ lb • ftVrad
/i = 3.59 cpm, 72 = 3.06 sec
9-20 Tb^ = 1091.4 X 10^ lb • ft^/rad = 10 times that of new Tacoma Bridge
9-24 E = 3.48 X 10^ Ib/in.^

9-27 CO= P^JeI/ p , where /3 is determined from
\Y
(1 -I- cosh 131 • cos ¡31) = j8/-^(sinh ¡31 • cos pi - cosh pi • sin pi)
3EIq
9-28 ft)j =
Wo 0.2371T^
^ ^ , K . (2 k - 1)77
9-33 o,. = 2 i / - ^ ^>"2(21V + i )
niT
9-35 (o„ = 2\ — sin
m 2{N+\)