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 =

(b) Which of the equations in the table applies to finding the moment of inertia of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (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 =

(d) Which of the equations in the table applies to finding the moment of inertia of a coin turning about an axis through its center and perpendicular to its faces? (Use the following as necessary: M, L and R.)
I =

Moments of Inertia of Homogeneous Rigid Objects with Different Geometries Hoop or thin cylindrical shell I_CM = MR^2 Solid cylinder or disk I_CM = 1/2 MR^2 Long, thin rod with rotation axis through center I_CM = 1/12 ML^2 Solid sphere I_CM = 2/5 MR^2 Hollow cylinder I_CM = 1/2 m (r^2_1 + R^2_2) Rectangular plate I_CM = 1/12 M (a^2 + b^2) Long, thin rod with rotation axis through end I = 1/3 ML^2 Thin spherical shell I_CM = 2/3 MR^2

Explanation / Answer

we can use the forllowing formulas for the given cases:

(a) i= 1/12 ML2

(b)i= MR2

(c)1/12 M (a2+b2)

(d) i= 1/2 MR2

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