Moment of inertia after a body is melted and recast into another shape
This type of question, asked 5 times: 2 May 2023 S2, 9 May 2023 S1, 10 May 2023 S1, 9 May 2024 S2, 26 Apr 2025 S1. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2 May 2023 S2
5A solid sphere of mass 'm', radius 'R', having moment of inertia about an axis passing through centre of mass as 'I' is recast into a disc of thickness 't' whose moment of inertia about an axis passing through the rim (edge) and perpendicular to plane remains 'I'. Then the radius of disc isTap an option to check your answer.
Question 2
9 May 2023 S1
40A circular disc of radius and thickness has moment of inertia about an axis passing through its centre and perpendicular to its plane. It is melted and recasted into a solid sphere; then moment of inertia of sphere about an axis passing through diameter isTap an option to check your answer.
Question 3
10 May 2023 S1
33A solid metallic sphere of radius 'R' having moment of inertia 'I' about diameter is melted and recast into a solid disc of radius 'r' of a uniform thickness. The moment of inertia of a disc about an axis passing through its edge and perpendicular to its plane is also equal to 'I'. The ratio isTap an option to check your answer.
Question 4
9 May 2024 S2
15A disc of radius and thickness has moment of inertia about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter isTap an option to check your answer.
Question 5
26 Apr 2025 S1
32Moment of inertia of a solid sphere about its diameter is ' '. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter isTap an option to check your answer.