(Solved): Briefly explain the terms magnification factor and transmissibility as applied to the forced dampe ...

Briefly explain the terms magnification factor and transmissibility as applied to the forced damped vibration. A motor of \( 20 \mathrm{~kg} \) mass shown in the figure carries two discs \( A \) and \( B \) each having a mass of \( 5 \mathrm{~kg} \) and \( 10 \mathrm{~kg} \) respectively. \( \operatorname{Disc} A \) is totally balanced while \( \operatorname{disc} B \) is unbalance with eccentricity \( e \) of \( 40 \mathrm{~mm} \). The motor is then bolted to a platform of \( 65 \mathrm{~kg} \) mass. The platform is supported by two sets of absorbers with \( \quad K=5 \mathrm{MN} / \mathrm{m} \) and \( C=27000 \) \( \mathrm{N} \cdot \mathrm{s} / \mathrm{m} \). The motor is running at a speed of \( 2400 \mathrm{rpm} \). Determine the following: i. Natural frequency of the system, \( \omega_{n} \). ii. Steady state amplitude of the platform, \( X_{S S} \). iii. Force transmitted to the floor through the absorbers, \( F_{T} \). iv. Steady state amplitude of the platform is to be reduced to \( X \leq 1 \mathrm{~mm} \). Find the minimum value of the damping coefficient \( C \) that has to be replaced for each absorber.