Page 367 - Schaum's Outline of Differential Equations

350 ANSWERS TO SUPPLEMENTARY PROBLEMS

14.55. I=24te- S00t

=cos200t-2sin200t
= V5 cos (200*+ 1.11)

14.66. 1.28 ft = 15.36 in submerged

14.68. x = -0.260 cos (5t - 0.876) 14.69. 0.764 ft submerged

14.70. x =-0.236 cos 6.47* 14.71. (a) (0= 6.47 Hz; (b) /= 1.03 Hz;
(c) T= 0.97 sec

14.72. (a) to =5 Hz; (b) /= 5l(2n) Hz; 14.73. No equilibrium position; it sinks.
(c) T = 2?r/5 sec

14.74. No equilibrium position; it sinks. 14.75. 9.02 cm submerged

14.76. x =-4.80 sin 10.42*

14.78. 0.236 ft = 2.84 in 14.75 159.151b

(b) period is reduced by

CHAPTER 15