In this passage a brief idea is given of the motion of the rolling bodies on an inclined plane. We will consider three cases: objects are released on an incline plane
Case-A: which is smooth.
Case-B: where friction is insufficient to provide pure rolling.
Case-C: where friction is sufficient to provide pure rolling. Force diagram for three cases are as follows: (where symbols have their usual meanings)

Two children `A` and `B` use bicycles, having wheels of ring type and disc type respectively. During a race, bicycles are given the same velocity from the bottom of the inclined bridge to ascend the bridge without pedalling, then (assuming pure rolling).

Options

A. both bicycles with reach up to same height
B. bicycle of child `A` will reach a greater height
C. bicycle of child `B` will reach a greater height
D. bicycle of child `B` will reach a greater height

Answer

B

Explanation

For ring `a=(gsintheta)/2` (for pure rolling) is less than of disc