The parallel axis theorem provides a useful way to calculate the moment of inert

Question

The parallel axis theorem provides a useful way to calculate the moment of inertia I about an arbitrary axis. The theorem states that I = Icm + Mh2, where Icm is the moment of inertia of the object relative to an axis that passes through the center of mass and is parallel to the axis of interest, M is the total mass of the object, and h is the perpendicular distance between the two axes. Use this theorem and information to determine the moment of inertia (kg·m2) of a solid cylinder of mass M = 4.20 kg and radius R = 1.50 m relative to an axis that lies on the surface of the cylinder and is perpendicular to the circular ends.

Explanation / Answer

I = Icm + M*h2

I=1/2*M*h2 + M*h2

The new moment of inertia is I' = 3/2 * M * h2

                                                    =1.5*4.20*1.50*1.50

                                                   =14.175 kg.m2

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