Page 540 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Answers

to Selected Problems

CHAPTER 1

1-1 -¿max = 8.38 cm/s; x„ 350.9 cm/s^
1-3 -imax = 2.27 cm, T = { •^max = 278.1 m /s-
1-5 z = 5c"">«5'
1-8 R = 8.697, e = 13.29°
1-9 xit) = ( O f t -I- .jsin 3w|/ -I- ^ sin 5<0|i + ■ ■ ■ j

1-11 xU) = 1 4 / cos(t)|/ H----- tc o s 3o),/ H----- rcosSiOji +
2 ^ ttH
-13 :^ /2
M 4 1/3
it 2^ \ lirn
c

-

^
^
3
^
o
s
-
1
1-16 «0 = 1/3 , 1 - c o s — , a, = — sm —^
" riTT
1-18 rms = 0.3162^
1-20 Error = ±0.148 mm
1-22 peak/-^ 1000 ^ 39.8
CHAPTER 2
2-1 5.62 Hz
2-3 0.159 s
2\/ 2g/i
2-5 x{t) = (1 - cos (ot) + sm cot
^ k ( m f -f W j)
2-7 7o = 9.30 lb • in • s^
2-9 K = 0.4507 m
2-11 id =
m + 7()/''^
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