I was doing this problem, and I had trouble drawing the free body diagram of the pulley.
(The pulley is massless, frictionless.)
I had trouble understanding how both the ends of the string will apply a tension $T$ along the string on the pulley, and also, why doesn't the string that is in contact with the pulley apply either a contact force (as the string and the pulley are in contact), or a tension force (as the string is stretched)?
If I just assumed that this is how the string applies tension on the pulley, I was able to solve the problem, but I fail to understand why this is the case.
PS:While this is technically a homework problem, I did this problem, but just had a doubt in drawing the free body diagram of the pulley.