AP EAMCET202018 Sep 2020Evening ShiftPhysicsRotational MotionActual
A solid cylinder of mass (M ) and radius (R ) rolls on a flat surface. Its moment of inertia about the line of contact is
Options
- A( ( 3 2 ) M R^2 )
- B(M R^2 )
- C( ( 2 3 ) M R^2 )
- D(2 M R^2 )
Correct answer
A. ( ( 3 2 ) M R^2 )
Step-by-step solution
Moment of inertia of solid cylinder of radius (R ) and mass (M ) about its axis is given as (I_ CM = 1 2 M R^2 ) ...(i) Moment of inertia about contact line (A B ) is given According to parallel axes theorem, i.e. ( I_ A B =I_ CM +M R^2= 1 2 M R^2+M R^2= 3 2 M R^2 )