Question Detail

PHY 101 Rotational Motion Objective Question

Question

According to the parallel-axis theorem, the moment of inertia I of a body about any axis is related to its moment of inertia about a parallel axis through its center of mass I_cm by the formula I = I_cm + MD², where D is
Options
A the diameter of the body.
B the distance between the two parallel axes.
Correct Answer
C the radius of gyration.
D the length of the body.
Correct Answer

Option B is the correct answer.

Detailed Explanation

The parallel-axis theorem states that the moment of inertia 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 total mass M and the square of the perpendicular distance D between the two parallel axes.

Hint

The 'D' in the formula represents the separation between the two parallel axes.

Question Info