A $2\mathrm{.}10-$kg object attached to a spring moves without friction $($b $=0)$ and is driven by an external force given by the expression F $=5\mathrm{.}70$sin$(2$t$),$ where F is in newtons and t is in seconds. The force constant of the spring is $38\mathrm{.}0$ N$/$m$.$

$($a$)$ Find the resonance angular frequency of the system.

$4\mathrm{.}25$ s$-1$

$($b$)$ Find the angular frequency of the driven system.

$6\mathrm{.}283$ s$-1$

$($c$)$ Find the amplitude of the motion.