Problem $14-15.$ A couple $($not shown$)$

causes the eccentric disk of mass $M$ in

Figure below to roll without slipping at the

constant angular velocity $.$ The radius of

gyration of the disk about its mass center

$G$ is $k.$

Determine the maximum kinetic

energy of the disk. Use the following data:

$M=40kg,R=240mm,$

$e=50mm,k=160mm,$ and

$=10ra\frac{d}{s}.$

Determine the corresponding value of

the angle $($the angle between $OG$ and

the vertical$).$