JEE Main2007PhysicsRotational MotionActual
A round uniform body of radius R , mass M and moment of inertia ' I ', rolls down (without slipping) an inclined plane making an angle with the horizontal. Then its acceleration is
Options
- Ag 1+ I M R ^2
- Bg 1+ M R ^2 I
- Cg 1- I MR ^2
- Dg 1- M R ^2 I
Correct answer
A. g 1+ I M R ^2
Step-by-step solution
M g -f=M a aligned & f R=I a R & a= g (1+ I M R^2 ) aligned