The ratio of the accelerations for a solid sphere (mass `m, and radius R`) rolling down an incline of angle `theta` without slipping, and slipping down the incline without rolling isA. `2 : 3`B. `2 : 5`C. `7 : 5`D. `5 : 7`

The ratio of the accelerations for a solid sphere (mass `m, and radius

1.	The ratio of the accelerations for a solid sphere (mass `m, and radius R`) rolling down an incline of angle `theta` without slipping, and slipping down the incline without rolling isA. `2 : 3`B. `2 : 5`C. `7 : 5`D. `5 : 7`
Answer» Rolling without slipping `a_(1)=(g sin theta)/(1+(k^(2))/(R^(2)))=(gsin theta)/(1+(2)/(5))=(5)/(7) g sin theta` Slipping without rolling `a_(2)= g sin theta` `(a_(1))/(a_(2))=(5)/(7)`

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The ratio of the accelerations for a solid sphere (mass `m, and radius R`) rolling down an incline of angle `theta` without slipping, and slipping down the incline without rolling isA. `2 : 3`B. `2 : 5`C. `7 : 5`D. `5 : 7`

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