A solid sphere and a disc of same radii are rolling down an inclined plane without slip. One reaches earlier than the other due to
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a
different radius of gyration
b
different size
c
different friction
d
different moment of inertia
answer is A.
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Detailed Solution
THE TIME TAKEN TO ROLL DOWN IS GIVEN BY T=2Laa = g sin θ1+IMR2 = g sin θ1+K2 R2 [I = MK2]Clearly one reaches earlier than other due to different radius of gyration.