Consider a disk with radius R and mass m $($uniformly distributed$).$ A point mass with mass $2$m is permanently glued to the

edge of the disk. Since they are glued together, we can treat the disk and point mass like one combined object.

$2$m

Select all correct statements:

$$The center of mass is $2$R$/3$ from the center of the disk

$$The moment of inertia around the center of the disk is $(3/2)$mR$2$

$$The moment of inertia around the center of mass is $(19/18)$mR$2$

$$The moment of inertia around the location of the point mass is $(3/2)$mR$2$