A mass m1 of 3 kg is suspended from a spring of stiffness 600 N/m and to the underside of the mass m1 another spring of stiffness 500 N/m is attached. This second spring carries a mass m2 of 2 kg hanging vertically below m1. Assuming that the movements of the two masses x1 and x2 are of the form x1 = a1 sin ωt and x2 = a2 sin ωt respectively, show that one mode of vertical vibration corresponds to a pacer speed of 13.33 rad/s.

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A mass m1 of 3 kg is suspended from a spring of stiffness 600 N/m and to
the underside of the mass m1 another spring of stiffness 500 N/m is
attached. This second spring carries a mass m2 of 2 kg hanging vertically
below m1.
Assuming that the movements of the two masses x1 and x2 are of the form
x1 = a1 sin ωt and x2 = a2 sin ωt respectively, show that one mode of vertical
vibration corresponds to a pacer speed of 13.33 rad/s.

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