In: Physics
1.) A mass-spring system consists of an object of mass 1 Kilogram connected to a spring with a stiffness of 9. The damping constant is 6. Derive the function (1) that determines the distance from the equilibrium point if the initial position is 3 meters from the equilibrium point and the initial speed is 3 meters per second.
a.) What is the maximum distance from the equilibrium point?
b.) Determine the general solution of the nonhomogeneous linear
differential
equation using the variation of parameters method.
c.) Determine the inverse Laplace transform.