1. The problem statement, all variables and given/known data The smooth homogeneous sphere rests in the 132° groove and bears against the end plate, which is normal to the direction of the groove. Determine the angle θ, measured from the horizontal, for which the reaction on each side of the groove equals the force supported by the end plate. 2. Relevant equations ΣF=0 3. The attempt at a solution edit: in the second equation F3sin(24) is supposed to be positive.