Moment of inertia of a system of identical spheres about a given axis
This type of question, asked 7 times: 10 May 2024 S2, 13 May 2024 S2, 14 May 2024 S2, 20 Apr 2025 S1, 21 Apr 2025 S1, 17 Apr 2026 S1, 12 May 2026 S1. All 7 questions below, oldest first.
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Question 1
10 May 2024 S2
29Two spheres each of mass '' and radius are connected at the ends of massless rod of length ''. What will be the moment of inertia of the system about an axis passing through centre of one of the spheres and perpendicular to the rod?Tap an option to check your answer.
Question 2
13 May 2024 S2
32Four identical uniform solid spheres each of same mass 'M' and radius 'R' are placed touching each other as shown in figure with centres A, B, C, D. are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane, thenTap an option to check your answer.
Question 3
14 May 2024 S2
5Four identical uniform solid spheres each of same mass and radius are placed touching each other with centres A, B, C, D. and are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane. The difference in and isTap an option to check your answer.
Question 4
20 Apr 2025 S1
40Two spheres each of mass and radius are connected with a massless rod of length 4 R . The moment of inertia of the system about an axis passing through the center of one of the spheres and perpendicular to the rod will beTap an option to check your answer.
Question 5
21 Apr 2025 S1
44Three spheres, each of mass ' ' and radius ' ' are placed as shown in figure. Consider an axis , which is touching two spheres and passing through the diameter of third sphere. The moment of inertia of the system consisting of these three spheres about axis isTap an option to check your answer.
Question 6
17 Apr 2026 S1
106A system of five solid spheres each of mass '' and radius '' are rotating about an axis AA' as shown in figure. Hence the moment of inertia of the system about the axis of rotation AA' isTap an option to check your answer.
Question 7
12 May 2026 S1
105Four solid spheres, each of diameter cm and mass kg are placed with their centres at the corners of a square of side cm. The M.I. of the system about the diagonal of the square is kg-m, then isTap an option to check your answer.