A solid cylinder `C` and a hollow pipe `P` of same diameter are in contact when they are released from rest as shown in the figure on a long incline plane. Cylinder `C` and pipe `P` roll without slipping Determine the clear gap (in `m`) between them after `2sqrt(3)` seconds.

Answer

5

Explanation

`a_(C)=(gsintheta)/(1+I/(mR^(2)))=(gsintheta)/(1+1/2)=2/3gsintheta`
`a_(P)=(gsintheta)/(1+1/(mR^(2)))=(gsintheta)/2`
`a_(rel)=a_(C)-a_(P)=(gsintheta)/g=(10xx1/2)/6=5/6`
`s_(rel)=1/2xx5/6xx(2sqrt3)^(2)=5m`