Moment of Inertia

Question 1

Hoop or Thin Cylindrical Shell

Answer 1

I= MR^2

Question 2

Solid Disk or Cylinder

Answer 2

1/2 MR^2

Question 3

Hole in middle Cylinder

Answer 3

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

Question 4

Rectangular Plane

Answer 4

1/12M(a^2+b^2)

Question 5

Long Thin Rod with pivot in Middle

Answer 5

1/12(ML^2)

Question 6

Long thin rod with pivot at the end

Answer 6

1/3(ML^2)

Question 7

Solid Sphere

Answer 7

2/5MR^2

Question 8

Hollow Spere

Answer 8

2/3 MR^2

Question 9

λ

Answer 9

M/L

Question 10

Parralel Axis Theorem

Answer 10

I= Icm + MD^2