Page 543 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

530 Answers to Selected Problems

m 0 1 x \ ■ 2k kl/4 X down
5-20 = {0}
0 7. \ o i ^ kl/4 5 k f / \ 6 0 clockwise
5-22 Both static and dynamic coupling present.
5-24 /, = 0.963 Hz, node 10.9 ft forward of eg
f 2 = 1.33 Hz, node 1.48 ft aft of eg
5-29 = 31.6 rad/s, ( X ^ / X 2)^ - 0.50
CO2 = 63.4 rad/s, (A^,/A^2)2 = “ 100
. . . 8 1 4
5-32 X] = g cos it)/ + ^ cos o>2^; X2 = -g COS — -g COS it) 2 /
5-33 shear ratio story = 2.0
5-37 (oj/co^)2 = 2.73, iy^/Y(^2 = “ 0.74
5-39 Ki = 43.3 ft/s, V2 = 60.3 ft/s
5-44 d 2 = 1/2 in.
5-46 w - 11.4 lb, k = 17.9 Ib/in.
5-48 ¿'0 = 0.105, = 0.943
9 .
16' 16^1
5-55
+
16
7 , 2
J 1 = J2 = =

-
\
-

■Wj n (k^k2+k^ ) - k2 ^ 5
5-62 m2 —2 2 (^ ^ 3 ^ 4 ) - ^ 3

^
k
m 3 - k^ (k, +k,)

1 - /C3
CHAPTER 6
6-1 « 1 1 = - Z k , k j ' “ 2' ~ "'2 - ’ " 2 2 -
6-3 a,, = 0 .0 1 1 4 /V f/, ^21 ^ ^12 " 0.0130/^/E/, U22 -
' ( K, + K^ ) - K , 0
6-6 IK] = - K , ( K 2 + K,) - ^ 3
0 - ^ 3
\/K, \/K, \/K,
[«] = \/ K , { \/ K , + \ / K . ) ( 1/K , + \/K ^ )
\/ K , ( \ / K , + \/ K ^ ) { \/ K , + I / K 2 + \ / K , )
7/96 1/8
6-7 [fl] = 1/8
E l 5/6
1 1
e ; 2 2
6-8 [a] =
\2EI : 3 3
: 3 4