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Q.

A solid sphere and circular disc of same mass and radius are allowed to roll down an inclined plane from the same height without slipping. Find the ratio of times taken by these two to come to the bottom of incline:

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a

14:15

b

15:14

c

2:1

d

7:9

answer is A.

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Detailed Solution

Acceleration of a rolling body on inclined plane is a=gsinθ1+k2R2 For two bodies time of rolling same length is t1t2=a2a1=1+k12R21+k22R2For a solid sphere  k12=25R2And for disc  k22=12R2⇒t1t2=1+251+12=1415
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