In the arrangement shown in figure two equal masses (each m) hung light cords wrapped around a uniform solid cylinder of mass M and radius R. The cylinder is free to roate about a harizontal axis. If the system is released from rest then, the tension in each cord is-

Options

A. `(Mmg)/(4m+M)`
B. `(Mmg)/(m+M)`
C. `(Mmg)/(M+3m)`
D. `(Mmg)/(2m+M)`

Explanation

`mg-T=ma" "....(1)`
`2TxxR=Ialpha=MR^(2)xx(a)/(R)`
`Ma=2T`
`T=(Ma)/(2)" " ....(2)`
`mg-(Ma)/(2)=marArrmg=((Ma)/(2)+m)a`
`a=(mg)/((M)/(2)+m):.T=(mMg)/(2((M)/(2)+m))`