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

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

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 ωω will resonance occur?

Expert Solution

Colby Messinger answered 2 years ago

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