NEETPhysicsRotational Motion
Two discs of moments of inertia I 1 and I 2 about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed ω 1 and ω 2 are brought into contact face to face with their axes of rotation coincident.Calculate the loss in kinetic energy of the system in the process.
Options
- AI ₁ I ₂ 2 ( I ₁ + I ₂ ) ( ₁ + ₂ ) ²
- B- I ₁ I ₂ 2 ( I ₁ + I ₂ ) ( ₁ + ₂ ) ²
- C- I ₁ I ₂ 2 ( I ₁ + I ₂ ) ( ₁ - ₂ ) ²
- DI ₁ I ₂ 2 ( I ₁ + I ₂ ) ( ₁ - ₂ ) ²
Correct answer
C. - I ₁ I ₂ 2 ( I ₁ + I ₂ ) ( ₁ - ₂ ) ²
Step-by-step solution
Correct Option is : (C) - I ₁ I ₂ 2 ( I ₁ + I ₂ ) ( ₁ - ₂ ) ²