Moment Of Inertia Of Rigid Bodies

Front 1

What is the moment of inertia of a ring rotated about the central axis with mass 'm' and radius 'r'?

Back 1

               I = mr^2

Front 2

What is the moment of inertia of a hollow cylinder rotated about the central axis with radii 'r1' and 'r2'?

Back 2

      I = 1/2 m (r1^2 + r2^2)

Front 3

What is the moment of inertia of a solid cylinder rotated about the central axis with radius r and mass m?

Back 3

 I = 1/2 mr^2

Front 4

What is the moment of inertia of a solid cylinder rotated about the central diameter with radius r, mass m, and length l?

Back 4

I= 1/4 mr^2 +1/12 ml^2

Front 5

What is the moment of inertia of a thin rod rotated about the center with mass m and length l ?

Back 5

I = 1/12 ml^2

Front 6

What is the moment of inertia of a thin rod rotated about the edge with mass m and length l ?

Back 6

I = 1/3 ml^2

Front 7

What is the moment of inertia of a solid cylinder rotated about the edge  with radius r, mass m, and length l?

Back 7

I = 1/3 ml^2 + 1/4 mr^2

Front 8

What is the moment of inertia of a ring rotated about the diameter with mass 'm' and radius 'r'?

Back 8

 I = 1/2 mr^2

Front 9

What is the moment of inertia of a rectangular plane rotated about the edge parallel to side b with sides a and b? 

Back 9

I = 1/3 ma^2 

Front 10

What is the moment of inertia of rectangular plane rotated about the center with sides a and b?

 

Back 10

I = 1/12 m (a^2 + b^2)

Front 11

What is the moment of inertia of a solid sphere rotated about the central axis with mass 'm' and radius 'r'?

Back 11

I = 2/5 mr^2

Front 12

What is the moment of inertia of a spherical shell rotated about the central axis with mass 'm' and radius 'r'?

Back 12

I = 2/3 mr^2