The maximum restoring force that can be applied to the disk without breaking it is 50,000 n. what is the maximum oscillation amplitude that won't rupture the disk

Displacement of the oscillator can be expressed in the mathematical form as: x(t) = A*cos (ωt + δ), therefore acceleration would be represented as => a = ¨x = â’ω^2*A*cos (ωt + δ), the maximum acceleration will happen when the cosine is -1. Hence, maximum acceleration => a-max = A*ω^2 The force associated with acceleration is F = ma. Therefore maximum amplitude is A = F / (m*ω^2) = F / (4Ď€^2 * m * f^2) where f is the frequency of oscillation. putting values in above equation we ge: A = 50000 / 4Ď€^2 * 10^â’4 Ă— (10^6)^2 = 1.25 * 10^â’5 hence 1.25 * 10^-5 m/s^2