Equation for translatory motion
`mg-T=ma`…….`(1)`
Equation for rotatory motion
`TR=I_(cm)alpha`……..`(2)`
Condition for no slipping
`a=Ralpha`…….`(3)`
Solving the equations
`Mg-(I_(cm)a)/(R^(2))=Ma`
`a=(Mg)/(M[1+(I_(cm))/(MR^(2))])=(g)/(1+k)`
`T=(I_(cm)a)/(R^(2))=((k)/(1+k))Mg`