Either describe, sketch, or take a picture of a real system whose motion can be described by a single coordinate. At least one of the components must have mass, and at least one must have stiffness. For each of the components, indicate if it has mass, stiffness, and/or damping. Also explain if this is a rotational or translational system and why. The system you pick must be something you encounter in everyday life and may not be a system that has been discussed in class.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?