Parallel Axis Theorem Video Lessons

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Problem: A uniform stick has length L. The moment of inertia about the center of the stick is I0. A particle of mass M is attached to one end of the stick. The moment of inertia of the combined system about the center of the stick is (A) I0 + 1/4ML2(B) I0 + 1/2ML2(C) I0 + 3/4ML2(D) I0 + ML2(E) I0 + 5/4ML2

FREE Expert Solution

Moment of inertia of a point mass:

I = mr2 where r is the distance from the axis of rotation. 

In this problem, we have two objects rotating about the same axis.

The moment of inertia of the stick about its center is I0: Irod,center = I0

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Problem Details

A uniform stick has length L. The moment of inertia about the center of the stick is I0. A particle of mass M is attached to one end of the stick. The moment of inertia of the combined system about the center of the stick is 

(A) I0 + 1/4ML2

(B) I0 + 1/2ML2

(C) I0 + 3/4ML2

(D) I0 + ML2

(E) I0 + 5/4ML2

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