An L-shaped elastic member ABC with slender arms AB and BC of uniform cross section is clamped at end A and connected to a pin at end C. The pin remains in continuous contact with and is constrained to move in a smooth horizontal slot. The section modulus of the member is same in both the arms. The end C is subjected to a horizontal force 𝑃 and all the deflections are in the plane of the figure. Given the length AB is 4𝑎 and length BC is 𝑎, the magnitude and direction of the normal force on the pin from the slot, respectively, are