you are asked to design a vibrating chair to serve as a ride for children at a p

Question

you are asked to design a vibrating chair to serve as a ride for children at a playground. The child is belted into the chair that rests on a low-friction horizontal surface. The chair is attached at the end of a horizontal spring. The chair is pulled horizontally back 1.0 m and released so that it vibrates back and forth on the surface. Choose a reasonable mass for the chair and the child and then determine the spring constant of a spring that you need to purchase to make this ride operate. Note: The child's acceleration during a ride on this vibrating chair should not exceed 20m/s2

Explanation / Answer

kx = ma
a = kx/m = 20 ( for max acc )
k*1/(15 + 25) = 20
k = 800 N/m

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