JIPMER2019PhysicsRotational Motion
Two disc having mass ratio 1 / 2 and diameter ratio 2 / 1 then find ratio of moment of inertia.
Options
- A2: 1
- B1: 1
- C1: 2
- D2: 3
Correct answer
A. 2: 1
Step-by-step solution
Given, mass ratio of two disc m ₁: m ₂=1: 2 i.e. m ₁ ~m ₂ = 1 2 and diameter ratio d ₁ ~d ₂ = 2 1 r ₁ r ₂ = 2 1 Ratio of their moment of inertia, array ll I ₁ I ₂ = & m ₁ r ₁^2 2 m ₂ r ₂^2 2 = m ₁ ~m ₂ ( r ₁ r ₂ )^2= 1 2 ( 2 1 )^2= 2 1 I ₁: I ₂=2: 1 array