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computer001 (1847)

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Olaaa!! Perrrfect answer. 297  [478 rates]

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consider the cylinder in the gap( of dia R-r)
is rotaing abt itself with w and has a COM velocity=V(which itself is changing dir continuously)
now wat v need to do is solve for this V
then V/(R+r)/2 will be the ans we need
now chk @ the inner boundary:
the equation for pure motion is
rw1 + V=(R-r)/2 *w(note tht this w is not what v actually want to calculate)
the V comes here due to rel motion bet the 2 things
similarly v also have @ outer boundary:
Rw2 -V=(R-r)/2 *w
equating the 2 v have:
rw1 +V=Rw2 -V
so V=(Rw2-rw1)/2
so the thing v need is V/(R+r)/2 =Rw2-rw1/R+r

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