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 0.5 R from the centre. 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 $ \omega $?
A)hoop, cylinder, sphere
B)cylinder, sphere, hoop
C)sphere, cylinder, hoop
D)hoop, sphere, cylinder
E)sphere, hoop, cylinder

Question

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 0.5 R from the centre. 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 $ \omega $? 
A)hoop, cylinder, sphere 
B)cylinder, sphere, hoop 
C)sphere, cylinder, hoop 
D)hoop, sphere, cylinder 
E)sphere, hoop, cylinder

Quizplus · Accepted Answer

The Answer of 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 0.5 R from the centre. 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 $ \omega $? 
A)hoop, cylinder, sphere 
B)cylinder, sphere, hoop 
C)sphere, cylinder, hoop 
D)hoop, sphere, cylinder 
E)sphere, hoop, cylinder

A Hoop, a Solid Cylinder, and a Solid Sphere All ω \omega ω

A Hoop, a Solid Cylinder, and a Solid Sphere All $\omega$