Consider the table below. (a) Which of the equations in the table applies to fin

Question

Consider the table below.

(a) Which of the equations in the table applies to finding the moment of inertia of a long, straight sewer pipe rotating about its axis of symmetry? (Use the following as necessary: M, L and R.)

I =

(c) Which of the equations in the table applies to finding the moment of inertia of a uniform door turning on its hinges? (Use the following as necessary: M, L and R.)

I =

Moments of Inertia of Homogeneous Rigid Objects with Different Geometries Hollow cylinder Hoop or thin cylindrical shell CM MR Solid cylinder Rectangular plate or disk 12 MR2 Long, thin rod Long, thin rod with with rotation axis through center rotation axis through end ML CM 12 Thin spherical Solid sphere shell

Explanation / Answer

(a) Sewer Pipe is like hollow cylinder

so its moment of inertia will be I = MR2

(b) Moment of inertia for door will be same as we have for rod about an axis which pass through its end

I = 1/3 ML2

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