Rotational Equilibrium Homework Help

[Repolar]

Homework Statement

Answers were told to us to be

F = 2.91 N
Ft1 = 13.32 N
Ft2 = 3.36 N

Homework Equations

Fx = Ft2 cos(θ) - F = 0
Fy = Ft2 sin(θ) + Ft1 - Fg = 0
Torque equation

-FgDg - Ft2D1x cos(θ) + Ft2D1y sin(θ) = 0

The Attempt at a Solution

I plugged in all of the information i had but did not get the right answer. I think my distances may be off but i cannot seem to get to those answers.

 

[haruspex]

-FgDg - Ft2D1x cos(θ) + Ft2D1y sin(θ) = 0

That doesn't look right. The angle is to the horizontal, so cos(theta) should be giving a horizontal force component. That needs to be multiplied by a vertical distance. Pls post your working in detail.

 

[Arkavo]

why not calculate torque from the nail then rotation is 0 and the picture can only rotate along the nail then FT1 being parallel to the line of action offers no torque only mg is balanced by FT2 the by that u can find the others