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The ratio of the accelerations for a solid sphere (mass ‘m’ and radius ‘R’) rolling down an incline of angle ‘θ’ without slipping and slipping down the incline without rolling is :
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- 5 : 7
- 2 : 3
- 2 : 5
- 7 : 5
Correct Option: A
For solid sphere rolling without slipping
slipping on inclined plane, acceleration
| a1 = | |||
| 1 + | |||
| R² | |||
For solid sphere slipping on inclined plane without rolling, acceleration
a2 = g sin θ
| Therefore required ratio = | ||
| a2 |
| = | = | = | |||||||||
| 1 + | 1 + | 7 | |||||||||
| R² | 5 | ||||||||||
