Solving Static Equilibrium: Ʃτ = 0, ƩF = 0

[capn awesome]

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Homework Equations

Ʃτ = 0
ƩF = 0

The Attempt at a Solution

summing the torques for each piece, i found

Ʃτ = MgLsin(90-ψ) - mgIsin(ψ) = 0

MgLsin(90-ψ) = mgIsin(ψ)

ML/mI = sin(ψ)/sin(90-ψ) = sin(ψ)/cos(-ψ) = tan(ψ)

so ψ = tan^-1(ML/mI)

i don't know if this is correct or not...

and I have no idea how I could find the angle without considering torque. any help is appreciated. thanks :)

 

[Simon Bridge]

i don't know if this is correct or not...

How could you go about checking it?

and I have no idea how I could find the angle without considering torque.

I don't think you can. But you can do it without directly considering torque by using a result - like the lever equation.