Im stuck on question 22 the first part

i resolved the forces paralel and horizontal to the slope.

i got the 2 equations T-√3 mg/2=ma using F=ma and kgm/2-T=kma

substituting these into each other I get a=kg+√3 g /2k+2

From here i can not see how to prove k>√3 if the weight of mass m is to accelerate towards P

Ive done most of the work but i am missing something small. maybe some one can tell me?