Question

A toddler with a mass of 15.6 kg bounces up and down in her crib. The crib mattress behaves like a light spring with force constant 745 N/m.

(a)The toddler bounces with at a frequency that allows her to reach a maximum amplitude with minimum effort. What is this frequency (in Hz)?

(b)The toddler now bounces high enough to lose contact with the mattress once each cycle, like a trampoline. What is the minimum amplitude of oscillation (in cm) required for this to occur?

Answer 1