A cylinder of mass \[\text{Mc}\]and sphere of mass \[\text{Ms}\] are placed at points A and B of two inclines, respectively (See Figure). If they roll on the incline without sipping such that their accelerations are the same, then the ratio\[\frac{\sin {{\theta }_{c}}}{\sin {{\theta }_{s}}}\]is [JEE ONLINE 09-04-2014] |
A) \[\sqrt{\frac{8}{7}}\]
B) \[\sqrt{\frac{15}{14}}\]
C) \[\frac{8}{7}\]
D) \[\frac{15}{14}\]
Correct Answer: D
Solution :
[d] As we know, Acceleration, |
For cylinder, |
or |
For sphere, |
orgiven, |
i.e., |
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