Question: A 96 lb object is attached to a spring with constant 12 lb/ft. A dashpot supplies 24 lb of damping for each ft/sec of velocity

A 96 lb object is attached to a spring with constant 12 lb/ft. A dashpot supplies 24 lb of damping for each ft/sec of velocity and the object is subjected to an external force F(t)=18cost?9sint. F(t)=18cost-9sintlb. Initially, the object is pulled down 3 inches and released.

a. Express the given description as an initial value problem whose solution would give the displacement of the object after 15 seconds. b. Find the steady state component of the displacement

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