Math  /  Geometry

QuestionThe parallel axis theorem gives the moment of inertia to an axis that is \qquad to the original axis. Select one: a. linear b. non-linear c. perpendicular d. parallel

Studdy Solution

STEP 1

1. We are considering the parallel axis theorem in the context of physics and mechanics.
2. The problem involves understanding the relationship between the original axis and the new axis for calculating the moment of inertia.

STEP 2

1. Understand the parallel axis theorem.
2. Identify the relationship between the original and new axis.
3. Select the correct answer based on the theorem.

STEP 3

Understand the parallel axis theorem:
The parallel axis theorem states that the moment of inertia of a body about any axis parallel to an axis through the center of mass is equal to the moment of inertia about the center of mass axis plus the product of the mass of the body and the square of the distance between the two axes.

STEP 4

Identify the relationship between the original and new axis:
According to the parallel axis theorem, the new axis is parallel to the original axis.

STEP 5

Select the correct answer based on the theorem:
The correct answer is: d. parallel
The relationship described by the parallel axis theorem is that the new axis is parallel to the original axis.

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