Rotational Inertia

Question 1

Hoop

Answer 1

I = MR^2

Question 2

Ring

Answer 2

I = 1/2M(R1^2 + R2^2)

Question 3

Cylinder

Answer 3

I = 1/2MR^2

Question 4

Thick rod

Answer 4

I = 1/4MR^2 + 1/12ML^2

Question 5

Thin rod

Answer 5

I = 1/12ML^2

Question 6

Solid Sphere

Answer 6

I = 2/5MR^2

Question 7

Thin spherical shell

Answer 7

I = 2/3MR^2

Question 8

Hoop (axis is vertical)

Answer 8

I = 1/2MR^2

Question 9

Slab

Answer 9

I = 1/12M(w^2 + l^2)