The arrangement shown in Fig. 3.72 consists of two eccentric masses rotating in opposite directions at the same speed \(\omega\). It is to be used as a mechanical shaker over the frequency range 20 to \(30 \mathrm{~Hz}\). Find the values of \(\omega,

e, M, m, k\), and \(c\) to satisfy the following requirements:

(a) The mean power output of the shaker should be at least \(700 \mathrm{~W}\) over the specified frequency range.

(b) The amplitude of vibration of the masses should be between \(2 \mathrm{~mm}\) and \(5 \mathrm{~mm}\).

(c) The mass of the shaker \((M)\) should be at least 50 times that of the eccentric mass \((m)\).

Transcribed Image Text:

m 2 EN 22 M m 2 *N FIGURE 3.72 Model of a mechanical shaker.