Page 541 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

528 Answers to Selected Problems

2-13 T = 1.97 s
2-15 T = 277'

2-17 T = 2t7 —

2 . 1 9 / =
2-21 T = Irr^ ^
2 g
2-23 = ^ m l for each column, ml = mass of column
33
2-27
K . K .

(^r
2-31 = 7, + /
2-33 M = 0.0289 kg
2-35 f = 1.45
2-38 27.78, 5 = 0.0202, i = 0.003215, c

2-42 = \ m \ a ) -Isf' ‘ ' , = — doT^
a
a 1 3k 1 V 2
'
2-44 7 V^ V 1 4km \ a ) ’ “ 3 ■
2-46 -^max = 92.66 ft/s, t = 0.214 s
2-48 - 0.59, "^overshoot = 0.379
4
2-51 Flexibility =
243 El
2-56 ( 0 .8 5 4 m / + 0 .5 6 2 5 M ) x + 0 .5 6 2 5 /ir + ^ c i == 0
2-57 ( M / " + | m / - ) ^ ' + ik i" + 2 / 0 ^ = 0

CHAPTER 3
3-1 c = 61.3N s/m
3-3 A = 0.797 cm, (/> = 51.43°

3-5 = 0.1847
3-9 Add 1.38 oz at 121.6° clockwise from trial weight position
3-13 = 15 Hz, ^ = 0.023505, A = 0.231 cm c/) = 175.4°
3-16 / = 1028 rpm
3-18 F = 1273 N, F = 241.1 N for i/ = 1.905 cm

3.20
Z77 y