Question

Differential Equations

A spring is stretched 6in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb· s/ft and is acted on by an external force of 2cos(2t) lb.

(a) Find position u(t) of the mass at time t

(b) Determine the steady-state response of this system

*Assume that g = 32 ft/s2*

Answer #1

Solved.

A spring is attached 6 in by a mass that weighs 8 lb. The mass
is attached to a dashpot mechanism that has a damping constant of
0.25 lb.s/ft and is acted on by an external force of 4cos(2t) lb.
1. Determine the steady state response of this system 2. If the
given mass is replaced by a mass m, determine the value of m for
which the amplitude of the steady state response is maximum. 3.
Write down the...

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