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

In the arrangement shown in figure two equal masses (each m) hung ligh

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

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

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