A spring with a 6-kg mass and a damping constant 7 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 c2−4mk? m2kg2/sec2 Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t with the general form c1eαtcos(βt)+c2eγtsin(δt)

The value for is :

The position of the mass (m) after t seconds is:

Explanation:

The spring constant is :

The value for is :

=

=

=

The differential equation for this system is :

and the auxiliary equation for  this differential equation is :

using the quadratic formula :

=  

=

The general solution is :

Initial conditions :

replacing 1 for

The position of the mass (m) after t seconds is:

i would say the answer is food.

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which piece of furniture will have the most inertia and give the furniture movers the most difficulty in moving?  

answer

a 75kg dining table