# A 2kg mass is attached to a spring hanging from the ceiling. This causes the spring to stretch 20 cm. The system has friction constant of 10. After coming to a stop at its new equilibrium, the mass is pulled 50 cm further toward the floor (i.e. y(0) and released subject to a driving force function F(t)=.3cos(t). Recall that we can calculate k when we know the displacement d caused by a mass m because d=mg/k [use g=9.8 m/sec2]. The differential equation to solve has k=98 1. The steady-state so

###### Question:

A 2kg mass is attached to a spring hanging from the ceiling. This causes the spring to stretch 20 cm. The system has friction constant of 10. After coming to a stop at its new equilibrium, the mass is pulled 50 cm further toward the floor (i.e. y(0) and released subject to a driving force function F(t)=.3cos(t).
Recall that we can calculate k when we know the displacement d caused by a mass m because d=mg/k [use g=9.8 m/sec2].
The differential equation to solve has k=98
1. The steady-state solution yp =
2. The actual solution y(t) to the ivp is =
3. To illustrate that yp is steady-state and yh is transitory,
Calculate the value |yp(3)?y(3)|=

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