Moment of inertia of point masses at the corners of a square or triangle
This type of question, asked 4 times: 16 May 2023 S2, 19 Apr 2025 S1, 25 Apr 2025 S1, 17 Apr 2026 S1. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
16 May 2023 S2
3Three point masses, each of mass , are placed at the corners of an equilateral triangle of side . The moment of inertia of the system about an axis passing through one of the vertices and parallel to the side joining other two vertices will beTap an option to check your answer.
Question 2
19 Apr 2025 S1
20Four particles each of mass M are placed at the corners of a square of side L . The radius of gyration of the system about an axis perpendicular to the square and passing through its center isTap an option to check your answer.
Question 3
25 Apr 2025 S1
12Four particles each of mass M are placed at the corners of a square of side L . The radius of gyration of the system about an axis perpendicular to the square and passing through its center isTap an option to check your answer.
Question 4
17 Apr 2026 S1
105Four point masses m, 2m, 3m and 4m are kept at the corners A, B, C and D respectively of a square ABCD of side ''. The moment of inertia of the system about an axis perpendicular to the plane of the square and passing through the point D isTap an option to check your answer.