Torque Problem not yielding answer choices

[fireman2020]

The Attempt at a Solution

I took the pivot point to be the hinge point and calculated the torque to the force of gravity as well as tension. So

T=Ia=0=L*T*sin(180-θ)+(L/2)*F _g *sin(θ) which yields

T+(1/2)F _g=0 so shouldn't T=mg/2? However, this is not an answer choice.[/B]

 

[TSny]

Hello. Welcome to PF!

Be careful with constructing the trig function for the torque of F_g.

 

[fireman2020]

Hello. Welcome to PF!

Be careful with constructing the trig function for the torque of F_g.

Wow thank you, I should have been more organized with how I drew my angles and parallel lines. I see it now.