(a) For what range of frequencies can you force the mass in Exercise 10.6.4 with amplitude...
Question:
(a) For what range of frequencies Υ can you force the mass in Exercise 10.6.4 with amplitude α = .5 without breaking the spring?
(b) How large should the friction be so that you can safely force the mass at any frequency?
Data From Exercise 10.6.4
A mass m = 25 is attached to a unit spring with k = 1, and frictional coefficient β = .01. The spring will break when it moves more than 1 unit. Ignoring the effect of the transient, what is the maximum allowable amplitude α of periodic forcing at frequency γ
(a) .19 ?
(b) .2 ?
(c) .21 ?
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To determine the range of frequencies and the maximum allowable amplitude for the mass without breaking the spring we need to consider the resonance f...View the full answer
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