Question 20 The parallel axis theorem provides a useful way to calculate the mom

Question

Question 20

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 = 1.10 kg and radius R = 6.00 m relative to an axis that lies on the surface of the cylinder and is perpendicular to the circular ends.

Explanation / Answer

Icm = moment of inertia about the axis passing through central axis = (0.5) MR2

I = Icm + MR2 = (0.5) MR2 + MR2 = 1.5 MR2 = 1.5 x 1.10 x 6 x 6 = 59.4

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