Q$1.$ What will be the steady state response of the mass in Fig. $1-61$ below if the forcing function is f$($t$)=10$sin $0\mathrm{.}5$t $+10$cos $1\mathrm{.}5$t $+20$sin t $+20$cos $2$t and k$=10$lb $/$ln m $=1$lb $-$ sec$^($s $/$ i$)$ n Ans. x $=1\mathrm{.}03$sin $0\mathrm{.}5$t $+2\mathrm{.}22$sin t $+1\mathrm{.}29$cos $1\mathrm{.}5$t $+3\mathrm{.}33$cos $2$t

Q$2.$ The static deflection of the spring due to the mass m in Fig. $1-61$ below is $1\mathrm{.}2$ in$,$ and the amplitude of vibration due to a harmonic excitation $10$ cos $20$t is $0\mathrm{.}02$ in$.$ What is the weight of the mass?

$16868$

natural

Ans $.15\mathrm{.}12$ lb

Fig. $1-61$