A solid cylinder with a radius of r$\_($c$)=0\mathrm{.}44$m and a mass of m$=11$kg is attached to a spring with a

spring constant of k$=50(($N$))/(($m$)).$ Assume that the cylinder rolls down the ramp without slipping and that the

spring is initially at its natural length $($not stretched or compressed$).$

If the ramp is at an angle of $\backslash$theta $=65\backslash$deg from horizontal, what is the cylinder's angular velocity when it has

traveled a distance of d$=0\mathrm{.}35$m $?$

$\backslash$omega $\_($c$)=,($rad$)/(($s$))$