NEET2019PhysicsRotational MotionActual
Given v_ C M =2 ~m ~s ⁻¹ , m=2 ~kg , R=4 ~m Find the angular momentum of ring about its origin if it is in pure rolling.
Options
- A32 ~kg ~m ^2 ~s ⁻¹
- B24 ~kg ~m ^2 ~s ⁻¹
- C16 ~kg ~m ^2 ~s ⁻¹
- D8 ~kg ~m ^2 ~s ⁻¹
Correct answer
A. 32 ~kg ~m ^2 ~s ⁻¹
Step-by-step solution
aligned & L =I_ C M +m v_ C M R & = v R = 2 4 =0.5 rad s ⁻¹ & L =m R^2 +m v_ C M R & =2 16 0.5+2 2 4=16+16 & L =32 ~kg ~m ^2 ~s ⁻¹ aligned