The mass m = 2 slug, the spring constant is k = 72 lb/ft, and the damping constant is c =...

The mass m = 2 slug, the spring constant is k = 72 lb/ft, and the damping constant is c = 8 lb-s/ft. The spring is unstretched when x = 0. The mass is displaced to the position x = 1 ft and released from rest.

(a) If the damping is subcritical, what is the frequency of the resulting damped vibrations?

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(b) What is the value of.x at t = 1s?

(See Active Example 21.3.)