question_answer

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.,