ITS PRETTY SIMPLE
first make the translation motion equations
mg=kN1 + N2
N2 = kN1
therefore
N1 = mg/k(sq)+1
and N2=kmg/k(sq) +1
now make the rotational motion equations
alpha= -2k(N1 + N2)/mr
using third eqn of motion
w(final)=4k(N1 + N2) *theta/mr
therefore no of revolutions= theta/2 pi = rw(sq)(k(sq) + 1)/8* pi* k* g(1+k)