Finding the applied force in a three-pulley system with 300N and 150N tensions

[Tesla In Person]

TL;DR

pulley question

Hi, I have this pulley question, i have to find the force F that needs to be applied to the string to keep the system in equilibrium. I found 150N.
Is it correct?
T_1= 300N and T_2=150N so F is 150N.

 

[.Scott]

Using earth gravity as 10N (vs. 9.8), looks good to me.

 

[Orodruin]

Nitpick: The tensions in the strings do not have direction so it makes little sense to draw them as arrows. It is only when you cut the string in a free body diagram that you get directed forces.