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A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity vm/s. If it is to climb the inclined surface then v should be

a
≥107gh
b
≥2gh
c
2gh
d
107gh

detailed solution

Correct option is A

From law of conservation of energy12mv2+12Iω2≥mgh12mv2+12(25mR2)v2R2≥mgh, v≥107gh

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