Homework #2: Check this result in the ODE & the two ICs.

Example: Tedesco et al, page 115¹

¹Tedesco, McDougal and Ross, Structural Dynamics, page 115

inches

ENGG 614 2023

Ninth Class 10-31-23

Revised of 10-30-23, 8:30pm

w = √k/m

Time for one cycle =T=

2πT

W

=

2500 x 32.2 x 12

1000

= 0.202 sec

1

= 31.1 rad/sec

Page 14 of 22

time in seconds

in radians/nTime for one cycle = T =

tsinut

y(t) = (m) (sin

2

2500 x 32.2 x 12

w = √/k/m = 2500 zx12: = 31.1 rad/sec

1000

y = 3.7231.1t

mw

2π

W

-= 0.202 sec

F = 600 lb

600 lb x 12 in/ft

31.1 slugs x 31.1 rads/sec

2mw

m=

1000 lb

32.2 ft/sec²

= 7.44 inches/sec

time in seconds

= 31.1 slugs

= 3.72 inches/sec

in radians