(Solved): A counterrotating eccentric weight exciter with rotating masses \( m_{e} \) is used to produce the ...

A counterrotating eccentric weight exciter with rotating masses \( m_{e} \) is used to produce the forced oscillation of a mass \( M \) which is supported by two springs with stiffness \( k / 2 \) and a viscous damper with damping coefficient \( c \). By varying the speed of rotation, a resonant amplitude of \( 6 \mathrm{~mm} \) was recorded. When the speed was increased considerably beyond the resonant frequency, the amplitude approached a value of \( 0.8 \mathrm{~mm} \). Determine the damping factor \( \zeta \) of the system.