19.105 A precision experiment sits on an optical table that is isolated from
ground motion resulting from nearby equipment vibrations. The sys-
tem can be modeled with a single mass and spring as shown. The
weight of the table and experiment, modeled by block A, is 1200 lb.
and the displacement of the ground B is 0.03 in. at a frequency of
100 Hz. Knowing that the resulting amplitude of the table is to be
restricted to less than $x_{max} = 4 \times 10^{-5}$ in., determine (a) the required
spring stiffness, (b) the range of forcing frequencies, using this
stiffness, for which the table will have an amplitude less than $x_{max}$