$3/161$ The $5-kg$ cylinder is released from rest in the posi$-$

tion shown and compresses the spring of stiffness

$k=1\mathrm{.}8k\frac{N}{m}.$ Determine the maximum compres$-$

$sion{x}_{\text{m}\text{a}\text{x}}$ of the spring and the maximum velocity

$v_{\text{m}\text{a}\text{x}}$ of the cylinder along with the corresponding

deflection $x$ of the spring.