For small loads,P, the rotation of “rigid” beam AF in Fig. P2.3-7 is controlled by the stretching of rod AB. For larger loads, the beam comes into contact with the top of column DE, and further resistance to rotation is shared by the rod and the column. Assume (and later show that this is a valid assumption) that the angle θ through which beam AF rotates is small enough that points on the beam essentially move vertically, even though they actually move on circular paths about the fixed pin at C. (a) A load P is applied at end F that is just sufficient to close the 1.5-mm gap between the beam and the top of the column at D.What is the strain, ϵ₁, in rod AB for this value of load P? (b) If load P is increased further until ϵ₁ = 0.001 , what is the corresponding strain, ϵ₂, in column DE?