A body of mass m slides down an incline (without friction) and reaches the bottom with a velocity v. If the same mass were in the form of a ring which rolls down(without slipping) this incline, the velocity of the ring at bottom would have been
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a
v
b
2v
c
v2
d
(25)v
answer is C.
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Detailed Solution
v = 2gh ------(i)For second case: 12mv'2+12Iω2 = mgh(ω = v'r, I = mr2)⇒ v' = gh -------(2)from (1) and (2) v' = v2