spring$-$mass$-$damper system has a mass m $=49\mathrm{.}2$ g$,$ a spring

stiffness k $=857\mathrm{.}8$ N$/$m$,$ and a damping constant c $=0\mathrm{.}11$ kg$/$s$.$

a$)$ Calculate the amplitude and phase angle of the steady$-$state

response to a harmonic forcing function with amplitude F$0=$

$10$ N and frequency $=132$ rad$/$s$.$

b$)$ Calculate the change in amplitude if $=125$ rad$/$s$.$

shown in the figure below. The system has a mass m $=2$ kg and a

spring stiffness k $=1500$ N$/$m$.$ the displacements at t$1$ and t$2$ are

measured to be $9$ and $1$ mm$,$ respectively. Calculate the damping

coefficient.

Example

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