A uniform solid cylinder of mass 'm' and radius 'r' rolls along an inclined rough plane of inclination 45 . If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder's axis will be
- 2 g
- 1 2 g
- 13 2 g
- 2 g3
Answer
(4) 2 g3
Solution
Rolling down the incline:
[figure]
mg -f=ma, fr= 12mr2 ar f= ma2
a= 23 g
=45 : a= 23 g 2= 2 g3
Answer: (4)