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A wheel of radius r rolls without slippi...

A wheel of radius `r` rolls without slipping with a speed `v` on a horizontal road. When it is at a point `A` on the road, a small blob of mud separates from'the wheel at- its highest point and lands at point `B` on the road:

A

`AB=vsqrt(r/g)`

B

`AB=2vsqrt(r/g)`

C

`AB=4vsqrt(r/g)`

D

`vgtsqrt(4rg)`,the blob of mud will land on the wheel and not on the road

Text Solution

Verified by Experts

The correct Answer is:
2
`V_(CM)=romega and V_(TOP)=2romegarArr V_(TOP)=2V` For wheel, `S_X=vsqrt((2h)/g)=where h=2r`, For the bob,`AB=2vsqrt(r/g)`and AB>(S_X of wheel) Note that it can never land on wheel as its horizontal velocity is twice that of wheel.
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