A Hoop, a Solid Cylinder, and a Solid Sphere All

Multiple Choice

A hoop, a solid cylinder, and a solid sphere all have the same mass m and the same radius R. Each is mounted to oscillate about an axis a distance 0.5R from the center. The axis is perpendicular to the circular plane of the hoop and the cylinder and to an equatorial plane of the sphere as shown below. Which is the correct ranking in order of increasing angular frequency ω? ​ ​

A) hoop, cylinder, sphere
B) cylinder, sphere, hoop
C) sphere, cylinder, hoop
D) hoop, sphere, cylinder
E) sphere, hoop, cylinder