The suspended 2-kg mass m is stationary.
a. What is the tension in the string A?
b. What is the tension in the string A?
c. If string A is cut, what is the tension in string B immediately afterward?
The appropriate equations are as follows:
\(\text{a. and b. }T_B\sin(45°)-mg=0\\\text{ and }T_A-T_Bcos(45°)=0\\\text{c. }T_B-mg\sin(45°)=0\)
I'll leave you to take it from here.