Question icon
11 grade physics others

The moment of inertia of a square plate about a diagonal is I_d and that about a side in its plane is I_s then

  • A) I_s = I_d
  • B) I_s < I_d
  • C) I_s > I_d
  • D) None of these

Profile image of Aniket Singh
10 Months agoGrade
Answers icon

1 Answer

Profile image of Askiitians Tutor Team
ApprovedApproved Tutor Answer10 Months ago

The moment of inertia is a measure of an object's resistance to rotational motion. For a square plate, the moments of inertia about different axes can be compared. When considering the moment of inertia about a diagonal (I_d) and about a side in its plane (I_s), the relationship between these two can be understood through the parallel axis theorem and the geometry of the square.

Key Relationships

For a square plate, the moment of inertia about a side (I_s) is typically greater than the moment of inertia about a diagonal (I_d). This is because the mass distribution relative to the axis of rotation is more concentrated when rotating about a side compared to a diagonal.

Conclusion on the Comparison

  • I_s > I_d is the correct relationship.

Thus, the answer is C) I_s > I_d.