You are asked to design a vibrating chair to serve as a ride for chidren at a playground. The child is belted into the chairthat rests on a low-friction horizontal surface. The chair isattached at the end of a horizontal spring. The chair is pulledhorizontally out 1.0m from equilibrium and released so that itvibrates back and forth on the surface. Choose a reasonable massfor the chair and child and then determine the spring constant of aspring that you need to purchase to make this ride operate.
Note: The child's acceleration during a ride on thisvibrating chair should not exceed 20m/s2.