A rigid horizontal bar of length L is pinned at its left end and supported by a rotational spring, KR. A vertical spring of stiffness k supports the right end. A load P acts at the right end as shown in the figure below. The bar deflects by CW rotation as a rigid body about its left end. The springs are stiff enough so that the rotation is very small, i.e., |θ| << 1, so that Cos θ = 1 and Sin θ ≈ θ, and therefore the right-hand spring k remains essentially vertical. (a) Develop and state the Equilibrium, Constitutive, Strain (extension)-displacement equations, and the compatibility equation. (b) Find the rotation (deflection) using the displacement method. (c) Find the force in the vertical spring using the force method (Hint: make it the redundant).