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11 August, 16:09

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

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  1. 11 August, 18:28
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    Displacement of the oscillator can be expressed in the mathematical form as: x (t) = A*cos (ωt + Î'), therefore acceleration would be represented as = > a = ¨x = â’ω^2*A*cos (ωt + Î'), 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
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