A bracket is bent into a right triangle with arms of length a and 2a, and suspended from the end of the small arm as photographed. What is the angle of repose r of the small arm with the vertical, at equilibrium?
From the equation of torques, w1 x1 = w2 x2,
where: w1= mg and x1= a/2 sin r,
also: w2 = 2mg and x2 = a cos r - a sin r)
From these, tan r = 4/5, and r = 38.66 degrees.