Page 551 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

538 Answers to Selected Problems

H A] li '^'1
12-33 -----= 0
12-38 CO = -- 22.7
i
12-39 CO = 22.5, CO2 =
12-42 COi = 101.2, (t) 2 —
12-43 COj = 0.5375^
\ i J ’
<e 1 / 1.000 1.000^
02 0.714 -2.270 I
^3 0.239 1.870 I
-0.326 -0.141

CHAPTER 13

13-5 x = 0.50, ^ =0.333

13-6 X =v4(), x ^ = A I +
13-14 A triangle of twice the base, symmetric
about t = 0.
13-15 R{r) = 5 at T = 0 and linearly decrease to Ril) = 1.
13-18 rms = 53.85g = 528.3 m/s^
13-21 rms = 1.99 in., o- = 0.9798
2 / 1 1
13-24 fit) = ^ I a>A —^ sin 2iOjr + ^ sin 3o>|r — • • •

s M = x: jc ,? = 4 E ^
2A
13-26 xU)= ---- £ ^ n = odd
TT ^ in
AA I . 1 . , 1
I sm iOj/ + ^ sm 3cajr + ^ sin 5(o^t +
4A^
Sico)
13-27 / i , 2 = / „ ( l +

13-31 53.2g = 2(t, P[x > la] = 4.6 percent
P[X > 2a] = 13.5 percent
13-32 Fit) = 10^1 4 + 1 2 ^ sin ^ • cos n ^ i
71-1

Sf^ico^) = 2 X ^0'' ( t . ) ....

k = ^
1 -
( 5 4