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The period of oscillation

The equation of motion for the spring-mass system and its solutions are given by m d2u/dt2 = - Celu      →      u(t) = A sin(ωt) under the condition ω2 = Cel/m      →      ω = √(Cel/m) Furthermore, the relation between the angular frequency ω and the period T is given by ωT = 2π    →    T = 2π/ω = 2π√(m/Cel) With Cel=18.0±0.1 N/m we may predict the spring-mass-system oscillation periods for the 5 masses. The results are collected in the table below. mass (grams) 2π√(m/Cel) (s)     50 0.331±0.001 100 0.468±0.001 150 0.574±0.002 200 0.662±0.002 250 0.740±0.002

50 gram