A spring with a 9kg mass and a damping constant 14 can be he
A spring with a 9-kg mass and a damping constant 14 can be held stretched 0.5 meters beyond its natural length by a force of 1.5 newtons. Suppose the spring is stretched 1 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c24mk ? Find the position of the mass after t seconds. Your answer should be a function of the variable t of the form c1et+c2et where
= (the larger of the two)
= (the smaller of the two)
c1=
c2=
Solution
From Hooke
