Can anyone help me find acceleration of a rotating cylinder?

Question

A solid cylinder of mass 75kg and radius 20cm is mounted to rotate on a fixed horizontal axis that passes through the center of the circular ends of the cylinder. A 10kg block is hung from a massless rope wrapped around the cylinder's circumference. When the block is released the rope unwinds and the block accelerates downward. What is the cylinder's acceleration?

Answer 1

1.  am = Fm/m = (mg-T)/m

2.  ÃŽÂ± = Q/Ic = T*r/(½Mcr²) = 2T/Mc*r

but

3.  ÃŽÂ±*r = am → 2T/Mc = (mg-T)/m → T = g/(2/M + 1/m)

Using this value of T in eq 2,

α = 2[g/(2/M+1/m)]/(Mc*r)