Mechanic conical pendulum taut strings

[gahyunkk]

I get that if one fixed string tauts, that means the string has a tension, so the condition is T>0. (Correct me plz if its wrong)

But what if we have 2 strings (like in the image) and the question asks for the least value of w in order that strings are taut?
Whats the condition for two strings to taut..? Do both T1 and T2 have to be equal? What happens if one force is bigger than the other?

 

[Deleted member 4993]

I get that if one fixed string tauts, that means the string has a tension, so the condition is T>0. (Correct me plz if its wrong)

But what if we have 2 strings (like in the image) and the question asks for the least value of w in order that strings are taut?
Whats the condition for two strings to taut..? Do both T1 and T2 have to be equal? What happens if one force is bigger than the other?
View attachment 4031

Vector resultant of T1 and T2 and the weight of the particle will create the accelerations of the particle. The magnitudes of the tensions will be guide the motion. The restriction you would have is T₁,T₂ ≥ 0