Page 545 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

532 Answers to Selected Problems

7-2 Let = Qy 1 0
= Q2 ‘ 0 I
Ih '
7-3 tan 0 = h r
I
/ 7772 - AT I \

7-5 tan 0 =
\ m, + atTt /
7-7 tan 0 = —
A
7-9 - 4 J ^ JB
//:Cosii„ + /f sin^o'l
7-n = «

where tan = (/i//2^^
7-12 (m, + ni2)R~0^
+ (W, + /TT. )y/R- + { l/iy eos + (777 2 - 777 I ) ^ sin ( = 0

7-15 7?i„(r - rO^) + /c(r - r^) == 777„g eos 0
m^^rirO + 2r0) + + 777„^K7- - 7',,)sin 6 + 7 7 7 sin 0 - 0

7-18 [7i + (m, + 7772)4/'M, + [/C + /“(^, + 4/c2)ki + 4/“A:2i/2 = 0
7202 + 4 /“/c 2(^ /1 + Qn) = 0
20.43 -5 .2 5 /'
7-20 [ / c ] = ^
-5 .2 5 / 7.0/"
p ( /^ /3 + /r/2 /2 ) + M ( /r /2 + /,/2)
7-22 R -
(/■;/3 + 2/2V3 + /f/2 + /,/?)
/V/, - RiL + /.) - PL ~ M

CHAPTER 8
0.5 0.5 0.5' ' 2
8-1 0.5 1.5 1.5 1 - A/ - 0, A -
0.5 1.5 2.5 1
8-2 A, -3 .9 1 6 A. - 0.7378 A3 - 0.3461
(U| = 0.5053i/ — w, = \.\M2\ — w, = 1.69981/ —
V 7?Z ^ V ^ V

8-6 o>, - 0.445V — 07. - 1.247 073 - 1.802
777