If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...

Question

Question

If an undamped spring-mass system with a mass that weighs

6 lb

and a spring constant

1 lb/in

is suddenly set in motion at

t = 0

by an external force of

3 cos 7t lb,

determine the position of the mass at any time. (Use

g = 32 ft/s²

for the acceleration due to gravity. Let

u(t),

measured positive downward, denote the displacement in feet of the mass from its equilibrium position at time t seconds.)

u(t) =

ft

Answer 1

Answer #1

Ft) 3 cos 7t 41/10 C / o -(°j 91 192 6 + 192 Uh cas&tus+C t Ccomplementay Up= Acas 7t+ Bm 7t Up 7AG 7t t76 cas7t Ganctron (pa

Answer 2

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