Prob.#$1$: $(25\%)$

A MASS$\_$SPRING SYSTEM $m=20kg,k={10}^{4\frac{N}{m}}$

HAS THE INITIAL CONDITIONS $x_0=2^{cm},x_0^{}=1\frac{m}{s}$

a$)$ DETERmine the Displacemeat & Velocty $Ct=13$

b$)$ DAMPING IS ADDED $=0\mathrm{.}15.$ DETERMINE THE

Displacement e $t=1$

c$)$ REPEAT $($b$)$ IF $=1\mathrm{.}0$

d$)$ Repeat $($b$)$ if $=1\mathrm{.}5-$compare with $($c$)$