The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane: (i) a ring of radius R, (ii) a solid cylinder of radius 
and (iii) a solid sphere of radius 
. If, in each case, the speed of the center of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is :
(a)
14 : 15 : 20
(b)
10 : 15 : 7
(c)
4 : 3 : 2
(d)
20 : 15 : 14
The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane: (i) a ring of radius R, (ii) a solid cylinder of radius and (iii) a solid sphere of radius . If, in each case, the speed of the center of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is :
(a)
14 : 15 : 20
(b)
10 : 15 : 7
(c)
4 : 3 : 2
(d)
Question ID - 51213 | SaraNextGen Top Answer
The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane: (i) a ring of radius R, (ii) a solid cylinder of radius and (iii) a solid sphere of radius . If, in each case, the speed of the center of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is :
(a)
14 : 15 : 20
(b)
10 : 15 : 7
(c)
4 : 3 : 2
(d)
20 : 15 : 14
|
The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane: (i) a ring of radius R, (ii) a solid cylinder of radius |
|||
|
(a) |
14 : 15 : 20 |
(b) |
10 : 15 : 7 |
|
(c) |
4 : 3 : 2 |
(d) |
20 : 15 : 14 |
Mgh=
For ring 
=
For cylinder
h2=
For sphere
2 : 
20 : 15 : 14