Mathematics · Classical Mechanics
Consider a solid torus of constant density ρ, formed by revolving the disc (y - b) 2 + z 2 ≤ a 2 , x = 0 about the z-axis, where 0 < a < b. Then the moment of inertia of the solid torus about the z-axis is:
- 12π 2 a 2 b 2 (4a 2 + 3b 2 )ρ
- 2π 2 2 a 2 b(4a 2 + 3b 2 )ρ
- 3π 2 2 a 2 b(4b 2 + 3a 2 )ρ✓
- 42π 2 a 2 b 2 (4b 2 + 3a 2 )ρ
Correct answer
π 2 2 a 2 b(4b 2 + 3a 2 )ρ
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Want more practice questions on Classical Mechanics?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Classical Mechanics