A load of \(5000 \mathrm{~N}\) resulted in a static displacement of \(0.05 \mathrm{~m}\) in a composite structure. A harmonic force of amplitude \(1000 \mathrm{~N}\) is found to cause a resonant amplitude of \(0.1 \mathrm{~m}\). Find

(a) the hysteresis-damping constant of the structure,

(b) the energy dissipated per cycle at resonance,

(c) the steady-state amplitude at one-quarter of the resonant frequency, and

(d) the steady-state amplitude at thrice the resonant frequency.