I have named the strings as S1,S2 and S3 on diagram. T is the tension in the string.
If I draw the Free body diagram for m1, I think it should be 2T force on it but on internet , it is just T. So , why do I think it is 2T?
Just imagine that when m2 is pulled , the pulley connecting mass m1 also gets pulled with 2T tension. Then , We have a fixed wall. So , the fixed wall can’t and would never move. So , it applies a T force on the string which travel to mass m1 and pulls it towards m2 direction. Now , till here the force is applied by string S1.
Then , when the pulley gets pulled. The string S2 also applied another T on the mass m1 which pulls it too. So , in conclusion . Total tension on the mass m1 is 2T.
So , where is it that I am going wrong ?
EDIT: Example of double tension or 2T .
So ,here. There is a 2T force applied on 6kg mass.