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) |
20 : 15 : 14 |

1 Answer

127 votes

Mgh=

For ring =

For cylinder h_{2}=

For sphere

2 :

20 : 15 : 14

127 votes

127