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Question:

The ratio of the acceleration 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.

2:5

5:7

2:3

7:5

Solution:

a1=gsinθ/(1+I/MR^2)
a1=gsinθ/(1+(2/5)MR^2/MR^2)=5/7gsinθ
a1/a2=5/7