Question: (a) For what range of frequencies can you force the mass in Exercise 10.6.4 with amplitude = .5 without breaking the spring? (b)

(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 ?

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