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  3. (1 point) a mass weighing 4 lb4 lb stretches a spr

(1 point) A mass weighing 4 lb4 lb stretches a spring 6 in.6 in. The mass is...

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Advance Math

(1 point) A massweighing 4 lb4 lb stretches a spring 6 in.6 in.
The mass is displaced 8 in8 in in the downward direction from itsequilibrium position and released with no initial velocity.
Assuming that there is no damping, and that the mass is acted on byan external force of 5cos(7t)5cos?(7t) lb,
solve the initial value problem describing the motion of themass.

For this problem, please remember to use English units: ft, lb,sec.ft, lb, sec.
Also remember to use g=32 ft/sec2.g=32 ft/sec2.

The solution to the initial value problem is:

u(t)=

At what frequency ?? will resonance occur?

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